{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# In Depth: Manifold Learning"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the previous chapter we saw how PCA can be used for dimensionality reduction, reducing the number of features of a dataset while maintaining the essential relationships between the points.\n",
    "While PCA is flexible, fast, and easily interpretable, it does not perform so well when there are *nonlinear* relationships within the data, some examples of which we will see shortly.\n",
    "\n",
    "To address this deficiency, we can turn to *manifold learning algorithms*—a class of unsupervised estimators that seek to describe datasets as low-dimensional manifolds embedded in high-dimensional spaces.\n",
    "When you think of a manifold, I'd suggest imagining a sheet of paper: this is a two-dimensional object that lives in our familiar three-dimensional world. \n",
    "\n",
    "In the parlance of manifold learning, you can think of this sheet as a two-dimensional manifold embedded in three-dimensional space. Rotating, reorienting, or stretching the piece of paper in three-dimensional space doesn't change its flat geometry: such operations are akin to linear embeddings.\n",
    "If you bend, curl, or crumple the paper, it is still a two-dimensional manifold, but the embedding into the three-dimensional space is no longer linear.\n",
    "Manifold learning algorithms seek to learn about the fundamental two-dimensional nature of the paper, even as it is contorted to fill the three-dimensional space.\n",
    "\n",
    "Here we will examine a number of manifold methods, going most deeply into a subset of these techniques: multidimensional scaling (MDS), locally linear embedding (LLE), and isometric mapping (Isomap).\n",
    "\n",
    "We begin with the standard imports:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('seaborn-whitegrid')\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Manifold Learning: \"HELLO\"\n",
    "\n",
    "To make these concepts more clear, let's start by generating some two-dimensional data that we can use to define a manifold.\n",
    "Here is a function that will create data in the shape of the word \"HELLO\":"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "def make_hello(N=1000, rseed=42):\n",
    "    # Make a plot with \"HELLO\" text; save as PNG\n",
    "    fig, ax = plt.subplots(figsize=(4, 1))\n",
    "    fig.subplots_adjust(left=0, right=1, bottom=0, top=1)\n",
    "    ax.axis('off')\n",
    "    ax.text(0.5, 0.4, 'HELLO', va='center', ha='center', weight='bold', size=85)\n",
    "    fig.savefig('hello.png')\n",
    "    plt.close(fig)\n",
    "    \n",
    "    # Open this PNG and draw random points from it\n",
    "    from matplotlib.image import imread\n",
    "    data = imread('hello.png')[::-1, :, 0].T\n",
    "    rng = np.random.RandomState(rseed)\n",
    "    X = rng.rand(4 * N, 2)\n",
    "    i, j = (X * data.shape).astype(int).T\n",
    "    mask = (data[i, j] < 1)\n",
    "    X = X[mask]\n",
    "    X[:, 0] *= (data.shape[0] / data.shape[1])\n",
    "    X = X[:N]\n",
    "    return X[np.argsort(X[:, 0])]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's call the function and visualize the resulting data (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = make_hello(1000)\n",
    "colorize = dict(c=X[:, 0], cmap=plt.cm.get_cmap('rainbow', 5))\n",
    "plt.scatter(X[:, 0], X[:, 1], **colorize)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The output is two dimensional, and consists of points drawn in the shape of the word \"HELLO\".\n",
    "This data form will help us to see visually what these algorithms are doing."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multidimensional Scaling\n",
    "\n",
    "Looking at data like this, we can see that the particular choices of *x* and *y* values of the dataset are not the most fundamental description of the data: we can scale, shrink, or rotate the data, and the \"HELLO\" will still be apparent.\n",
    "For example, if we use a rotation matrix to rotate the data, the *x* and *y* values change, but the data is still fundamentally the same (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def rotate(X, angle):\n",
    "    theta = np.deg2rad(angle)\n",
    "    R = [[np.cos(theta), np.sin(theta)],\n",
    "         [-np.sin(theta), np.cos(theta)]]\n",
    "    return np.dot(X, R)\n",
    "    \n",
    "X2 = rotate(X, 20) + 5\n",
    "plt.scatter(X2[:, 0], X2[:, 1], **colorize)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This confirms that the *x* and *y* values are not necessarily fundamental to the relationships in the data.\n",
    "What *is* fundamental, in this case, is the *distance* between each point within the dataset.\n",
    "A common way to represent this is to use a distance matrix: for $N$ points, we construct an $N \\times N$ array such that entry $(i, j)$ contains the distance between point $i$ and point $j$.\n",
    "Let's use Scikit-Learn's efficient `pairwise_distances` function to do this for our original data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1000, 1000)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import pairwise_distances\n",
    "D = pairwise_distances(X)\n",
    "D.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As promised, for our *N*=1,000 points, we obtain a 1000 × 1000 matrix, which can be visualized as shown here (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(D, zorder=2, cmap='viridis', interpolation='nearest')\n",
    "plt.colorbar();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we similarly construct a distance matrix for our rotated and translated data, we see that it is the same:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "D2 = pairwise_distances(X2)\n",
    "np.allclose(D, D2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This distance matrix gives us a representation of our data that is invariant to rotations and translations, but the visualization of the matrix in the following figure is not entirely intuitive.\n",
    "In the representation shown there, we have lost any visible sign of the interesting structure in the data: the \"HELLO\" that we saw before.\n",
    "\n",
    "Further, while computing this distance matrix from the (*x*, *y*) coordinates is straightforward, transforming the distances back into *x* and *y* coordinates is rather difficult.\n",
    "This is exactly what the multidimensional scaling algorithm aims to do: given a distance matrix between points, it recovers a $D$-dimensional coordinate representation of the data.\n",
    "Let's see how it works for our distance matrix, using the `precomputed` dissimilarity to specify that we are passing a distance matrix (the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.manifold import MDS\n",
    "model = MDS(n_components=2, dissimilarity='precomputed', random_state=1701)\n",
    "out = model.fit_transform(D)\n",
    "plt.scatter(out[:, 0], out[:, 1], **colorize)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The MDS algorithm recovers one of the possible two-dimensional coordinate representations of our data, using *only* the $N\\times N$ distance matrix describing the relationship between the data points."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### MDS as Manifold Learning\n",
    "\n",
    "The usefulness of this becomes more apparent when we consider the fact that distance matrices can be computed from data in *any* dimension.\n",
    "So, for example, instead of simply rotating the data in the two-dimensional plane, we can project it into three dimensions using the following function (essentially a three-dimensional generalization of the rotation matrix used earlier):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1000, 3)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def random_projection(X, dimension=3, rseed=42):\n",
    "    assert dimension >= X.shape[1]\n",
    "    rng = np.random.RandomState(rseed)\n",
    "    C = rng.randn(dimension, dimension)\n",
    "    e, V = np.linalg.eigh(np.dot(C, C.T))\n",
    "    return np.dot(X, V[:X.shape[1]])\n",
    "    \n",
    "X3 = random_projection(X, 3)\n",
    "X3.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's visualize these points to see what we're working with (the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits import mplot3d\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.scatter3D(X3[:, 0], X3[:, 1], X3[:, 2],\n",
    "             **colorize);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now ask the `MDS` estimator to input this three-dimensional data, compute the distance matrix, and then determine the optimal two-dimensional embedding for this distance matrix.\n",
    "The result recovers a representation of the original data, as shown in the following figure:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = MDS(n_components=2, random_state=1701)\n",
    "out3 = model.fit_transform(X3)\n",
    "plt.scatter(out3[:, 0], out3[:, 1], **colorize)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is essentially the goal of a manifold learning estimator: given high-dimensional embedded data, it seeks a low-dimensional representation of the data that preserves certain relationships within the data.\n",
    "In the case of MDS, the quantity preserved is the distance between every pair of points."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Nonlinear Embeddings: Where MDS Fails\n",
    "\n",
    "Our discussion thus far has considered *linear* embeddings, which essentially consist of rotations, translations, and scalings of data into higher-dimensional spaces.\n",
    "Where MDS breaks down is when the embedding is nonlinear—that is, when it goes beyond this simple set of operations.\n",
    "Consider the following embedding, which takes the input and contorts it into an \"S\" shape in three dimensions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "def make_hello_s_curve(X):\n",
    "    t = (X[:, 0] - 2) * 0.75 * np.pi\n",
    "    x = np.sin(t)\n",
    "    y = X[:, 1]\n",
    "    z = np.sign(t) * (np.cos(t) - 1)\n",
    "    return np.vstack((x, y, z)).T\n",
    "\n",
    "XS = make_hello_s_curve(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is again three-dimensional data, but as we can see in the following figure the embedding is much more complicated:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits import mplot3d\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.scatter3D(XS[:, 0], XS[:, 1], XS[:, 2],\n",
    "             **colorize);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The fundamental relationships between the data points are still there, but this time the data has been transformed in a nonlinear way: it has been wrapped up into the shape of an \"S.\"\n",
    "\n",
    "If we try a simple MDS algorithm on this data, it is not able to \"unwrap\" this nonlinear embedding, and we lose track of the fundamental relationships in the embedded manifold (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.manifold import MDS\n",
    "model = MDS(n_components=2, random_state=2)\n",
    "outS = model.fit_transform(XS)\n",
    "plt.scatter(outS[:, 0], outS[:, 1], **colorize)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The best two-dimensional *linear* embedding does not unwrap the S-curve, but instead discards the original y-axis."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Nonlinear Manifolds: Locally Linear Embedding\n",
    "\n",
    "How can we move forward here? Stepping back, we can see that the source of the problem is that MDS tries to preserve distances between faraway points when constructing the embedding.\n",
    "But what if we instead modified the algorithm such that it only preserves distances between nearby points?\n",
    "The resulting embedding would be closer to what we want.\n",
    "\n",
    "Visually, we can think of it as illustrated in this figure:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![(LLE vs MDS linkages)](images/05.10-LLE-vs-MDS.png)\n",
    "[figure source in Appendix](https://github.com/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/06.00-Figure-Code.ipynb#LLE-vs-MDS-Linkages)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here each faint line represents a distance that should be preserved in the embedding.\n",
    "On the left is a representation of the model used by MDS: it tries to preserve the distances between each pair of points in the dataset.\n",
    "On the right is a representation of the model used by a manifold learning algorithm called *locally linear embedding*: rather than preserving *all* distances, it instead tries to preserve only the distances between *neighboring points* (in this case, the nearest 100 neighbors of each point).\n",
    "\n",
    "Thinking about the left panel, we can see why MDS fails: there is no way to unroll this data while adequately preserving the length of every line drawn between the two points.\n",
    "For the right panel, on the other hand, things look a bit more optimistic. We could imagine unrolling the data in a way that keeps the lengths of the lines approximately the same.\n",
    "This is precisely what LLE does, through a global optimization of a cost function reflecting this logic.\n",
    "\n",
    "LLE comes in a number of flavors; here we will use the *modified LLE* algorithm to recover the embedded two-dimensional manifold.\n",
    "In general, modified LLE does better than other flavors of the algorithm at recovering well-defined manifolds with very little distortion (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.manifold import LocallyLinearEmbedding\n",
    "model = LocallyLinearEmbedding(\n",
    "    n_neighbors=100, n_components=2,\n",
    "    method='modified', eigen_solver='dense')\n",
    "out = model.fit_transform(XS)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.scatter(out[:, 0], out[:, 1], **colorize)\n",
    "ax.set_ylim(0.15, -0.15);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result remains somewhat distorted compared to our original manifold, but captures the essential relationships in the data!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Some Thoughts on Manifold Methods"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compelling as these examples may be, in practice manifold learning techniques tend to be finicky enough that they are rarely used for anything more than simple qualitative visualization of high-dimensional data.\n",
    "\n",
    "The following are some of the particular challenges of manifold learning, which all contrast poorly with PCA:\n",
    "\n",
    "- In manifold learning, there is no good framework for handling missing data. In contrast, there are straightforward iterative approaches for dealing with missing data in PCA.\n",
    "- In manifold learning, the presence of noise in the data can \"short-circuit\" the manifold and drastically change the embedding. In contrast, PCA naturally filters noise from the most important components.\n",
    "- The manifold embedding result is generally highly dependent on the number of neighbors chosen, and there is generally no solid quantitative way to choose an optimal number of neighbors. In contrast, PCA does not involve such a choice.\n",
    "- In manifold learning, the globally optimal number of output dimensions is difficult to determine. In contrast, PCA lets you find the number of output dimensions based on the explained variance.\n",
    "- In manifold learning, the meaning of the embedded dimensions is not always clear. In PCA, the principal components have a very clear meaning.\n",
    "- In manifold learning, the computational expense of manifold methods scales as $O[N^2]$ or $O[N^3]$. For PCA, there exist randomized approaches that are generally much faster (though see the [*megaman* package](https://github.com/mmp2/megaman) for some more scalable implementations of manifold learning).\n",
    "\n",
    "With all that on the table, the only clear advantage of manifold learning methods over PCA is their ability to preserve nonlinear relationships in the data; for that reason I tend to explore data with manifold methods only after first exploring it with PCA.\n",
    "\n",
    "Scikit-Learn implements several common variants of manifold learning beyond LLE and Isomap (which we've used in a few of the previous chapters and will look at in the next section): the Scikit-Learn documentation has a [nice discussion and comparison of them](http://scikit-learn.org/stable/modules/manifold.html).\n",
    "Based on my own experience, I would give the following recommendations:\n",
    "\n",
    "- For toy problems such as the S-curve we saw before, LLE and its variants (especially modified LLE) perform very well. This is implemented in `sklearn.manifold.LocallyLinearEmbedding`.\n",
    "- For high-dimensional data from real-world sources, LLE often produces poor results, and Isomap seems to generally lead to more meaningful embeddings. This is implemented in `sklearn.manifold.Isomap`.\n",
    "- For data that is highly clustered, *t-distributed stochastic neighbor embedding* (t-SNE) seems to work very well, though it can be very slow compared to other methods. This is implemented in `sklearn.manifold.TSNE`.\n",
    "\n",
    "If you're interested in getting a feel for how these work, I'd suggest running each of the methods on the data in this section."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Isomap on Faces\n",
    "\n",
    "One place manifold learning is often used is in understanding the relationship between high-dimensional data points.\n",
    "A common case of high-dimensional data is images: for example, a set of images with 1,000 pixels each can be thought of as a collection of points in 1,000 dimensions, with the brightness of each pixel in each image defining the coordinate in that dimension.\n",
    "\n",
    "To illustrate, let's apply Isomap on some data from the Labeled Faces in the Wild dataset, which we previously saw in [In-Depth: Support Vector Machines](05.07-Support-Vector-Machines.ipynb) and [In Depth: Principal Component Analysis](05.09-Principal-Component-Analysis.ipynb).\n",
    "Running this command will download the dataset and cache it in your home directory for later use:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2370, 2914)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.datasets import fetch_lfw_people\n",
    "faces = fetch_lfw_people(min_faces_per_person=30)\n",
    "faces.data.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have 2,370 images, each with 2,914 pixels.\n",
    "In other words, the images can be thought of as data points in a 2,914-dimensional space!\n",
    "\n",
    "Let's display several of these images to remind us what we're working with (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 32 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(4, 8, subplot_kw=dict(xticks=[], yticks=[]))\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(faces.images[i], cmap='gray')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When we encountered this data in [In Depth: Principal Component Analysis](05.09-Principal-Component-Analysis.ipynb), our goal was essentially compression: to use the components to reconstruct the inputs from the lower-dimensional representation.\n",
    "\n",
    "PCA is versatile enough that we can also use it in this context, where we would like to plot a low-dimensional embedding of the 2,914-dimensional data to learn the fundamental relationships between the images. Let's again look at the explained variance ratio, which will give us an idea of how many linear features are required to describe the data (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4rs4uiYg6qWsK+3379uHMmTMYOHAgoqKi4OHh4ei6ZM1slbDkcy1W7zmNYVFB+NeMJHT15c+ciFrPbtgvX74cJSUlOHXqFNRqNVatWoXly5df9T2SJGHx4sU4ceIE1Go10tPTERkZCQDQarVYsmSJ7Xuzs7Pxr3/9C6NHj/6VrbiG2gYzHnz/IPbnV2HOTVF4ZmI83FVKZ5dFRJ2c3bDPysrCunXrMGvWLEyZMgXr16+3u9OtW7fCZDIhMzMT2dnZyMjIwBtvvAEASEhIwNq1awEAX3zxBUJCQhj0FxRVNeDe1T+gqKoR/7h7IKYM6uHskojIRdgNe6vVCqPRCIVCAavVCqXS/llmVlYWRo0aBQBITExETk7OZd/T0NCAlStX4v33329F2a4nu6gGc989ALNVYO0fh2F4dBdnl0RELsRu2N9zzz2YOnUqqqqqMG3aNNx77712d6rT6aDRaGzPVSoVLBYL3NwuHe6jjz7CbbfdhqCgoNZV7kK+PV6Kh9cdQldfD2TeNwwxXTX230REdB3shv2ECROQmJiI8vJyBAcHIywszO5ONRoN9Hq97bkkSc2CHgA2bdqEFStWXHU/rb0q1GAwdJorSr/Oq8dr+8oRE6TG8+O6wlRRBG3F9e+nM/XcluTYtxx7BuTZd1v2bDfs//nPf8JkMmHBggVITU1F//798cADD1z1PUlJSdi+fTsmTpyI7OxsxMU1X7Olvr4eJpMJ3bt3v+p+EhISrqGFy2m12la/tz298d0p/GNvOUb1DsYbMwdD49H6mbCdpee2Jse+5dgzIM++r7fnrKysFrfZHYD/9ttvsWDBAgDAihUr8O2339o9YHJyMtRqNVJSUvDSSy/hmWeewerVq7Ft2zYAQEFBAcLDw6+1fpf06tZcLP3yOH47MAz/uWforwp6IiJ77CaMQqGAyWSCWq2G2WyGEMLuTpVKJdLS0pq9FhMTY3s8YMAAvP76660o1zX845tcvLYtD3cN7oGldw6AiuvOE5GD2Q37lJQUTJ48GXFxccjPz8fcuXPboy6XdTHopw3ugQwGPRG1E7thP23aNIwbNw5FRUXo2bMnZ8/8Ciu35dmCfumdA3gnKSJqN3bDXqvVIjMzE0aj0fbaSy+95NCiXNG/d5zCsm9yMTUpnEFPRO3Obtg//fTTmDlzJkJDQ9ujHpf0zu4CZHzR9GHsy3cNZNATUbuzG/bBwcGYNm1ae9Tikv6XXYy0zccwoX8olk8fyDF6InIKu2EfHh6OVatWISEhAQpFU1CNHDnS4YW5gqzCKjzx0REMiwrCqymJcOOCZkTkJHbD3mw2o6CgAAUFBbbXGPb2FVbqcf97WQgP8MKbMwfzhiNE5FR2w/6XH8aWlZU5rBhXUWcwY86aA5CEwDv3DkWgj9rZJRGRzNkN+9deew3r16+H2WyGwWBAr169sGXLlvaorVMSQuCJDT/idGUD1s0djqhgH2eXRER0bcsl7Ny5E5MnT8bnn3+Obt26tUddndbbuwrw1dFSPDMhHiO4TDERdRB2w75r165Qq9XQ6/WIjIyE2Wxuj7o6pR8KqpDx5XFM6B+KP46McnY5REQ2dsM+NDQUH330Eby8vLBs2TLU1dW1R12dTqXOiPn/PYSIIG/8/a4BtplLREQdgd0x+7S0NJw/fx633XYbPv30U7v3n5UjIQQWffoTahrMeHfOMPh6uju7JCKiZloM++3bt2PMmDHYsGGD7TW1Wo2DBw82W8GSgE8PF9vG6RO6+zm7HCKiy7QY9jU1NQCA8vLy9qqlUzpX04i/fXYUQ3sFYu6oaGeXQ0R0RS2G/ZQpUwA03Whk2bJl7VZQZyKEwFMfH4FVEnhlGpdCIKKOy+4HtGazGcePH4fRaITJZILJZGqPujqFdd+fwa68CjwzMQGRXTifnog6Lrsf0BYUFODhhx+2PVcoFLbbC8pZUVUDXvpci5GxwZg5PMLZ5RARXZXdsN+0aVN71NGpCCHwzCc/AQBemnoDp1kSUYdnN+y3bduG//73v7b7z9bU1Mj+F8AHB4qw+2QF0n/XHz2DvJ1dDhGRXXbH7F999VXMnz8f3bt3x5QpUxAXF9cedXVY52oa8eIWLf4vpgtmDOPwDRF1DnbDPiQkBIMGDQIATJ069ZpWvZQkCc899xzuvvtuzJo1C4WFhc2279ixA9OnT8e0adOwePFiCCFaWX77S9t0DBZJ4q0FiahTsRv27u7uOHDgACwWC3bt2oXq6mq7O926dStMJhMyMzOxcOFCZGRk2LbpdDq8/PLL+Pe//40NGzYgPDz8mvbZEezMLceXR0vw6NjeHL4hok7Fbtg///zzsFgsmDdvHj788EPMmzfP7k6zsrIwatQoAEBiYiJycnJs2w4fPoy4uDgsXboUM2bMQHBwMIKCgn5FC+3DZJGweNNR9OrijbmjuMgZEXUudj+g/c9//oPp06cjNjYWK1euvKad6nQ6aDQa23OVSgWLxQI3NzdUV1fj+++/x8aNG+Ht7Y0//OEPSExMRFTU5QGq1Wqvo5VLDAZDq9/bko9yapBfrkfauFDk5+W26b7bgiN67gzk2Lccewbk2Xdb9mw37AcPHoyXX34Zer0eU6dOxcSJE+Hp6XnV92g0Guj1ettzSZLg5tZ0qICAANxwww3o2rUrAGDIkCHQarVXDPuEhITrauYirVbb6vdeSUmtAevXf4fxCd0wO3lwm+23LbV1z52FHPuWY8+APPu+3p6zsrJa3GZ3GOfWW2/Fm2++ieXLl2PXrl3XdP/ZpKQk7Ny5EwCQnZ3dbAZPv379kJubi6qqKlgsFvz444+IjY29lj6cZumXx2GRBJ67va+zSyEiahW7Z/bnzp3Dxo0b8dVXX6Fv375466237O40OTkZe/bsQUpKCoQQWLJkCVavXo2IiAiMGzcOCxcuxNy5cwEAt912W4eeznnoTDU+PVyM+WNiEdGFH8oSUedkN+wfffRRTJs2DevWrWs2Dn81SqUSaWlpzV77+bLIkyZNwqRJk66z1PYnhEDapmMI8fXAvFu4rDMRdV52w/7jjz9ujzo6pP9ln0N2UQ1emTYQPh52f1RERB2W3TF7uWowWZDxxXEM6OGPqYPCnV0OEdGvwrBvwdu7ClBSZ8Bzt/fllbJE1OnZHZvQ6XR46623UFZWhjFjxqBPnz6IjIxsj9qcprbBjLd25SO5bzcM6dXxL/giIrLH7pn9okWL0LNnTxQWFiI4OBh/+ctf2qMup/rP7nzUGyxYkNxxZwkREV0Pu2FfU1ODu+66C25ubkhKSoIkSe1Rl9NU6014Z89pTLqhO28eTkQu45rG7E+dOgUAKCkpgUqlcmhBzvbWrnzoTRb8aXxvZ5dCRNRm7Ib9X//6VyxatAjHjh1Damoqnn766faoyykqdUas2XsakweEIa6br7PLISJqM3Y/oD1z5gzWr18PpdL1J+78Z3cBDGYrUsfxrJ6IXIvdBN+3bx/uuOMO/OMf/0BRUVF71OQUVkngk0PFGNMnBLEh13alMBFRZ2H3zP7ZZ5+FyWTCtm3bkJaWBrPZjDVr1rRDae1rf34lSuoM+Ovt8lpVj4jk4ZrGZo4cOYLdu3ejsrISN954o6NrcopPDhXD18MN4xO6ObsUIqI2Z/fMfuLEiYiPj8e0adPw4osvtkdN7a7RZMWXOecxaUB3eLq79mwjIpInu2G/bt06BAYGtkctTvP1sRLoTVZMGdTD2aUQETlEi2GfmpqKFStWYPLkyZdt2717t0OLam+fHi5GeIAXhkdxaQQick0thv2KFSsAABs2bED37t1tr1+8wMpVlNcbsSuvAg+OjuaCZ0TksloM+9zcXJSWluKVV17Bk08+CSEEJEnCsmXL8L///a89a3SoTT+eg1USmMJljInIhbUY9nV1dfj8889RWVmJzZs3AwAUCgVmzJjRbsW1h6+PlSA+1Be9ecUsEbmwFsN+yJAhGDJkCI4ePYp+/fq1Z03txmC24tCZGswe4dpLNhMR2Z2NU1JSguXLl8NsNkMIgZqaGmzatKk9anO47KIamCwSRkR3cXYpREQOZTfsX331VaSlpeGDDz7A8OHDsXfvXrs7lSQJixcvxokTJ6BWq5Gent7shifp6ek4dOgQfHx8AACvv/46fH3bfxhl36lKKBXAUM7CISIXZ/cK2pCQEAwaNAgAMHXqVJSWltrd6datW2EymZCZmYmFCxciIyOj2fajR4/i7bffxtq1a7F27VqnBD3QtERCvzB/+Hu5O+X4RETtxW7Yu7u748CBA7BYLNi1axeqq6vt7jQrKwujRo0CACQmJiInJ8e2TZIkFBYW4rnnnkNKSgo++uijX1F+6xnMVhwuqsGIaJ7VE5HrszuM8/zzzyM/Px/z5s3Da6+9hnnz5tndqU6ng0ZzaeVIlUoFi8UCNzc3NDQ0YObMmbjvvvtgtVoxe/Zs9O/fH/Hx8ZftR6vVXmc7TQwGg933HilphMkiIdy9odXH6UiupWdXJMe+5dgzIM++27LnFsO+oKDA9jg0NBQAsGDBgmvaqUajgV6vtz2XJAlubk2H8vLywuzZs+Hl5QUAGDFiBI4fP37FsE9IaN0KlFqt1u57vzibC6UCmDp6IPw8O/8wzrX07Irk2Lccewbk2ff19pyVldXithbD/rnnnrvi6wqFAu+9995VD5iUlITt27dj4sSJyM7ORlzcpRt3nz59Go899hg2btwISZJw6NAhTJkyxV4PbW5/fiX6h/u7RNATEdnTYtivXbu21TtNTk7Gnj17kJKSAiEElixZgtWrVyMiIgLjxo3DHXfcgenTp8Pd3R133HEHevdu3ztDGcxWZJ+pwb039WrX4xIROYvdMfuxY8dCobi0Zoyvry82btx41fcolUqkpaU1ey0mJsb2eO7cuZg7d+51ltp2Dp2phskq8cNZIpINu2H/5ZdfAgCEEMjJybE978z2X5xf34thT0TyYHfqpVqthlqthoeHBwYPHoxjx461R10OdeB0NfqF+cOX4/VEJBN2z+yXLVtmG8YpKyuDUnlNdzLs0PLK6jEunrcfJCL5sBv20dHRtsfx8fG2i6U6qyq9CRU6E3p309j/ZiIiF2H3NH38+PHw8/ODh4cHAGDXrl0OL8qRckvrAYBLGhORrNg9s58zZw5iY2Nt69coFApMnDjR4YU5Sl6ZDgAQxzN7IpIRu2Hv6+uLl156qT1qaRd5pfXw9XBDqJ+ns0shImo3dsN+5MiRWL9+PWJjY22vDR061KFFOVJeqQ6x3TTNrh0gInJ1dsP+4MGDMJlMOHDgAICmYZxOHfZl9RgbH+LsMoiI2pXdsG9oaMCaNWvaoRTHuzgTJ44fzhKRzNgN+969e2PLli1ISEiwDX1ERUU5vDBHyLswEyc2hB/OEpG82A3748eP4/jx47bn17LqZUd1aSYOz+yJSF7shv2vWf2yo8krrYfGww3d/TkTh4jkxSGrXnZUeWU6xIZwJg4RyY+sVr3MLdVhTJ+uzi6DiKjdyWbVy2q9CRU6I8friUiWZLPq5cUPZ2O5TAIRyZBsVr3MK2uadskzeyKSI7un6VFRUaivr8eUKVOwbds2FBUVtUddbS6vVAcftQphnIlDRDJkN+xfeOEF3HLLLQCAxx57DC+++KKja3KIvLJ6xHbz5UwcIpIlu2Hv7u6OiIgIAEDPnj077Zj9yTIdYrtyvJ6I5MnumH1YWBiWL1+OxMREHDlyBCEh9hcRkyQJixcvxokTJ6BWq5Geno7IyMjLvueBBx7AuHHj8Pvf/771HVwDvdGC0jojorv6OPQ4REQdld3T9JdeeglBQUHYsWMHgoKCrmlt+61bt8JkMiEzMxMLFy5ERkbGZd/z6quvoq6urnVVX6eCCj0AIDqYYU9E8mT3zN7DwwP33nvvde00KyvLNmsnMTEROTk5zbZ/+eWXUCgU7Taz51R507TLaA7jEJFM2Q371tDpdNBoLgWrSqWCxWKBm5sbcnNzsXnzZqxYsQL/+te/rrofrVbbquMbDIZm7z2grYYCgKHiDLTVnfMzB3t+2bNcyLFvOfYMyLPvtuzZIWGv0Wig1+ttzyVJgptb06E2btyI0tJS3HPPPSguLoa7uzvCw8MxevToy/aTkJDQquNrtdpm763LPozwQAMG9u/Xqv11Br/sWS7k2Lccewbk2ff19pyVldXiNoeEfVJSErZv346JEyciOzsbcXFxtm1PPvmk7fHKlSsRHBx8xaBvS/kVOg7hEJGsOSTsk5OTsWfPHqSkpEAIgSVLlmD16tWIiIjAuHHjHHHIFgkhUFCux5DIoHY9LhFRR+KQsFcqlUhLS2v2WkxMzGXf9+ijjzri8M2U1RuhN1k57ZKIZM01P638GdtMnGAO4xCRfLl82OeXN31QHMUzeyKSMZcP+4IKPTzdlejuxwXQiEi+XD7s88t1iArWQKnkAmhEJF+uH/YVei6TQESy59Jhb7JIKKpq4EwcIpI9lw77M1V6SAIMeyKSPZcO+1MXZ+Jw2iURyZxLh71taWOe2RORzLl02OeX6xCs8YCfp7uzSyEicioXD3vOxCEiAlw87M9UNSCyi7ezyyAicjqXDXtJEqjSm9DV18PZpRAROZ3Lhn2dwQyLJNBFw7AnInLZsK/QmQAAwRq1kyshInI+lw37Sp0RANDFh2f2REQuG/ZV+qYz+y48sycict2wr7gY9j4MeyIilw37i8M4gQx7IiJXDnsTArzd4a5y2RaJiK6ZQ5JQkiQ899xzuPvuuzFr1iwUFhY2275u3TrceeeduOuuu/D55587ogRU6o0cwiEiusDNETvdunUrTCYTMjMzkZ2djYyMDLzxxhsAgKqqKqxfvx6ffvopjEYjJk2ahAkTJkChaNs7SVXoTJxjT0R0gUPO7LOysjBq1CgAQGJiInJycmzbgoKCsHHjRri7u6OiogIeHh5tHvRA02wczrEnImrikDN7nU4HjebSGvIqlQoWiwVubk2Hc3Nzw/vvv4+VK1di1qxZLe5Hq9W26vgGgwFltQ2ID1S2eh+djcFgkE2vPyfHvuXYMyDPvtuyZ4eEvUajgV6vtz2XJMkW9BfNnDkT06dPx/3334/9+/djxIgRl+0nISGhVcfPOXoMdUYJMT26ISEhrlX76Gy0Wm2rf16dmRz7lmPPgDz7vt6es7KyWtzmkGGcpKQk7Ny5EwCQnZ2NuLhLgZufn4/58+dDCAF3d3eo1WoolW1bRq3RCoBLJRARXeSQM/vk5GTs2bMHKSkpEEJgyZIlWL16NSIiIjBu3DjEx8fj7rvvhkKhwKhRozBs2LA2PX5tY1PY8wNaIqImDgl7pVKJtLS0Zq/FxMTYHs+fPx/z5893xKEBADVGCQCvniUiusglrzjimT0RUXMuGfY1Bo7ZExH9nMuGvUqp4I3GiYgucMmwrzVYEeSjhlLZ9hdrERF1Ri4Z9jUGKz+cJSL6GZcM+1qDFcH8cJaIyMYlw77GYOUdqoiIfsZ1w573niUisnG5sDeYrWg0C57ZExH9jMuFfSXvPUtEdBmXC/sq3YWw5we0REQ2Lhf2FfqmG41zGIeI6BKXC/vKC2f2wfyAlojIxgXDnmf2RES/5HphrzfBQ6WAt1rl7FKIiDoMlwv7Cp0R/p4qh9zEnIios3K5sK/Sm+DvybN6IqKfc7mwr9SZEODpcm0REf0qLpeKlTojAnhmT0TUjMuFvYe7ChEBnIlDRPRzDrnhuCRJWLx4MU6cOAG1Wo309HRERkbatq9ZswZbtmwBANx8881tevPxz1NH4VTeiTbbHxGRK3DImf3WrVthMpmQmZmJhQsXIiMjw7atqKgIn332GT744AN8+OGH2L17N44fP95mx/ZSq6DiHaqIiJpxyJl9VlYWRo0aBQBITExETk6ObVtoaCjefvttqFRN4+oWiwUeHrzalYjIkRxyZq/T6aDRaGzPVSoVLBYLAMDd3R1BQUEQQmDp0qXo27cvoqKiHFEGERFd4JAze41GA71eb3suSRLc3C4dymg0YtGiRfDx8cHf/va3Fvej1WpbdXyDwdDq93ZWcuwZkGffcuwZkGffbdmzQ8I+KSkJ27dvx8SJE5GdnY24uDjbNiEEHn74YQwfPhwPPPDAVfeTkJDQquNrtdpWv7ezkmPPgDz7lmPPgDz7vt6es7KyWtzmkLBPTk7Gnj17kJKSAiEElixZgtWrVyMiIgKSJOGHH36AyWTCrl27AAALFizAoEGDHFEKERHBQWGvVCqRlpbW7LWYmBjb459++skRhyUioha43EVVRER0OYUQQji7iCu52tgTERFd2eDBg6/4eocNeyIiajscxiEikgGGPRGRDDhkNo4z2Ft8zZWYzWYsWrQIxcXFMJlMmDdvHmJjY/H0009DoVCgd+/e+Nvf/gal0vV+l1dWVmLq1Kl455134ObmJoue33zzTXz77bcwm834/e9/j2HDhrl832azGU8//TSKi4uhVCrxwgsvuPTf948//ohXXnkFa9euRWFh4RX7/Oc//4nvvvsObm5uWLRoEQYMGHB9BxEu4quvvhJPPfWUEEKIw4cPi4ceesjJFTnORx99JNLT04UQQlRXV4ubb75ZPPjgg2L//v1CCCGeffZZ8fXXXzuzRIcwmUzi4YcfFr/5zW/EyZMnZdHz/v37xYMPPiisVqvQ6XRixYoVsuj7m2++EampqUIIIXbv3i3mz5/vsn2vWrVK3H777WLatGlCCHHFPnNycsSsWbOEJEmiuLhYTJ069bqP4xq/FnH1xddczW233YY//elPAJquSFapVDh69CiGDRsGABg9ejT27t3rzBIdYunSpUhJSUFISAgAyKLn3bt3Iy4uDo888ggeeugh3HLLLbLoOyoqClarFZIkQafTwc3NzWX7joiIwMqVK23Pr9RnVlYWRo4cCYVCgbCwMFitVlRVVV3XcVwm7K+2+Jqr8fHxgUajgU6nQ2pqKh577DEIIWw3Wffx8UF9fb2Tq2xbn3zyCYKCgmy/0AG4fM8AUF1djZycHLz22mt4/vnn8fjjj8uib29vbxQXF2PChAl49tlnMWvWLJft+9Zbb222dtiV+vxlvrWmf5cZs7e3+JqrOX/+PB555BHMmDEDkydPxssvv2zbptfr4efn58Tq2t7HH38MhUKBffv2QavV4qmnnmp2ZuOKPQNAQEAAoqOjoVarER0dDQ8PD5SUlNi2u2rfa9aswciRI7Fw4UKcP38e99xzD8xms227q/YNoNnnEBf7/GW+6fV6+Pr6Xt9+26xCJ0tKSsLOnTsB4LLF11xNRUUF5syZgyeeeAJ33XUXAKBv3774/vvvAQA7d+7EkCFDnFlim1u3bh3ef/99rF27FgkJCVi6dClGjx7t0j0DTRfI7Nq1C0IIlJaWorGxETfeeKPL9+3n52cLM39/f1gsFpf/N37RlfpMSkrC7t27IUkSzp07B0mSEBQUdF37dZmLqi7OxsnNzbUtvvbz9XhcSXp6Or744gtER0fbXvvLX/6C9PR0mM1mREdHIz093XaDGFcza9YsLF68GEqlEs8++6zL9/z3v/8d33//PYQQ+POf/4wePXq4fN96vR6LFi1CeXk5zGYzZs+ejf79+7ts32fPnsWCBQvw4YcfoqCg4Ip9rly5Ejt37oQkSXjmmWeu+5edy4Q9ERG1zGWGcYiIqGUMeyIiGWDYExHJAMOeiEgGGPZERDLAsCfqYDIzM5tdQETUFhj2RB3Mm2++CUmSnF0GuRjXXU+AXNYnn3yCHTt2wGAw4MyZM7j//vsxderUZt+zYcMGrF+/HpIkYezYsUhNTcVnn32Gd999F2q1Gr169UJaWho2bdqE7du3w2AwoLy8HLNnz8a2bduQl5eHJ598EuPHj8e4ceMwcOBAnDlzBr1798aLL74InU6HJ554AjqdDlarFX/6059w4403YvLkyRg2bBhOnDgBhUKB119/Hb6+vli2bBkOHjwISZJw7733YsKECZg1axbi4+ORl5cHnU6H1157DXv37kV5eTn+/Oc/Iz093bbukdFoxPPPP4+EhAQn/dSp0/uVq3MStbuPP/5YzJkzRwghREFBgbj11lubba+oqBDJycmisbFRSJIkXn75ZXH27Fkxfvx4UV9fL4QQ4sUXXxRr164VH3/8sbjvvvuEEEJs3rxZ3HXXXUKSJLFv3z4xb948IYQQ/fr1E6dPnxZCCJGamiq++uorkZGRIdasWSOEEKKkpESMGTNGSJIkxowZI7KysoQQQixYsEBs3rxZfPfdd+Kxxx4TQghhMBjEb3/7W1FbWytmzpwpPvvsMyGEEMuXLxdvvvmmEEKIMWPGCIPBILZv3y4effRR0djYKH766Sdx8OBBh/1MyfVxGIc6pfj4eABA9+7dYTKZmm0rKipC79694enpCYVCgccffxyVlZWIjY21rRw4dOhQ5OXlAYDtbNnX1xcxMTFQKBTw9/eH0Wi0HePijXAGDRqEgoICnDp1CkOHDgUAdOvWDRqNBpWVlQCa1ja5+D6j0Yjc3FwcPXoUs2bNwty5c2GxWFBcXNzse0NDQ23Hu2j06NFISkrCww8/jBUrVrjMjTrIOfivhzqli0vAXklERATy8/NtvwRSU1PRpUsXnDp1Cg0NDQCAH374AVFRUXb3BQClpaUoLy8HABw6dAixsbGIiYnBwYMHbdvr6uoQEBBwxf1FR0dj+PDhWLt2Ld59911MmDABPXv2vGpvkiTh+++/R0hICN555x3MmzcPy5cvv2qdRFfDMXtyOUFBQbj//vsxc+ZMKBQKjBkzBuHh4Xj00Ucxe/ZsKJVKRERE4PHHH8eWLVvs7k+tVuOFF17A+fPnMXDgQIwdOxaDBw/GokWL8NVXX8FgMCAtLa3FJbXHjh2LH374ATNmzEBDQwPGjx/fbG3yXxoyZAgeeOABrFixAgsWLMD69ethsVjwyCOPtPpnQsSF0IjsuOmmm7Bnzx5nl0H0q3AYh4hIBnhmT0QkAzyzJyKSAYY9EZEMMOyJiGSAYU9EJAMMeyIiGWDYExHJwP8DvlaIz5XA5EcAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "model = PCA(100, svd_solver='randomized').fit(faces.data)\n",
    "plt.plot(np.cumsum(model.explained_variance_ratio_))\n",
    "plt.xlabel('n components')\n",
    "plt.ylabel('cumulative variance');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that for this data, nearly 100 components are required to preserve 90% of the variance. This tells us that the data is intrinsically very high-dimensional—it can't be described linearly with just a few components.\n",
    "\n",
    "When this is the case, nonlinear manifold embeddings like LLE and Isomap may be helpful.\n",
    "We can compute an Isomap embedding on these faces using the same pattern shown before:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2370, 2)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.manifold import Isomap\n",
    "model = Isomap(n_components=2)\n",
    "proj = model.fit_transform(faces.data)\n",
    "proj.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The output is a two-dimensional projection of all the input images.\n",
    "To get a better idea of what the projection tells us, let's define a function that will output image thumbnails at the locations of the projections:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "from matplotlib import offsetbox\n",
    "\n",
    "def plot_components(data, model, images=None, ax=None,\n",
    "                    thumb_frac=0.05, cmap='gray'):\n",
    "    ax = ax or plt.gca()\n",
    "    \n",
    "    proj = model.fit_transform(data)\n",
    "    ax.plot(proj[:, 0], proj[:, 1], '.k')\n",
    "    \n",
    "    if images is not None:\n",
    "        min_dist_2 = (thumb_frac * max(proj.max(0) - proj.min(0))) ** 2\n",
    "        shown_images = np.array([2 * proj.max(0)])\n",
    "        for i in range(data.shape[0]):\n",
    "            dist = np.sum((proj[i] - shown_images) ** 2, 1)\n",
    "            if np.min(dist) < min_dist_2:\n",
    "                # don't show points that are too close\n",
    "                continue\n",
    "            shown_images = np.vstack([shown_images, proj[i]])\n",
    "            imagebox = offsetbox.AnnotationBbox(\n",
    "                offsetbox.OffsetImage(images[i], cmap=cmap),\n",
    "                                      proj[i])\n",
    "            ax.add_artist(imagebox)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calling this function now, we see the result in the following figure:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(10, 10))\n",
    "plot_components(faces.data,\n",
    "                model=Isomap(n_components=2),\n",
    "                images=faces.images[:, ::2, ::2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result is interesting. The first two Isomap dimensions seem to describe global image features: the overall brightness of the image from left to right, and the general orientation of the face from bottom to top.\n",
    "This gives us a nice visual indication of some of the fundamental features in our data.\n",
    "\n",
    "From here, we could then go on to classify this data (perhaps using manifold features as inputs to the classification algorithm) as we did in [In-Depth: Support Vector Machines](05.07-Support-Vector-Machines.ipynb)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Visualizing Structure in Digits\n",
    "\n",
    "As another example of using manifold learning for visualization, let's take a look at the MNIST handwritten digits dataset.\n",
    "This is similar to the digits dataset we saw in [In-Depth: Decision Trees and Random Forests](05.08-Random-Forests.ipynb), but with many more pixels per image.\n",
    "It can be downloaded from http://openml.org/ with the Scikit-Learn utility:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(70000, 784)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.datasets import fetch_openml\n",
    "mnist = fetch_openml('mnist_784')\n",
    "mnist.data.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The dataset consists of 70,000 images, each with 784 pixels (i.e., the images are 28 × 28).\n",
    "As before, we can take a look at the first few images (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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LFplEpMPPEQSBTz75hE2bNqHVavnLX/7CQw891O+b3RKJhDvvvJNjx47x5ptv8uabb2Jra4urqysuLi6cPXv2F+P3b5U+GS1WVlbMmjWL7du389prr3Hs2DF27NhBWVkZRUVF3HfffVfEcxoDX19fXnzxRZ588kny8/P5+OOP2bdvHy0tLQQFBTFy5Mh+1aNSqfjPf/4j/nv06NEEBATc0HcYDAbxCWzMhsGCIPDvf/+b9vZ2BEHA0tLSpPLOOzs7KS4uZufOnaxdu1Z8vaqqCpVKdVktDaVSyfz588nMzOzVIPTrpbGxkZKSElQqlejyOXr0KC+88AKTJk0ymVjdHrRaLWVlZbz++uts3rwZOzs7nn32WWbPnm0UrRKJhAEDBoibrdAdktXZ2UlVVdVl98nYsWOJiYkRQ05vlT57HFtZWTFkyBD++c9/cvjwYb799ltycnJYs2YN1dXVvPXWW3116uumJwzLxsYGZ2dnnnjiCdrb2xk2bBizZ89m0KBB/apHEARx9grdPu0b8QFrtVoOHTpEbm7uZQaivxEEgfr6er7//nsx2SAhIYH4+HijaeohNzeXixcvkp6ezuHDhykoKLjMT92j9+eMGTOm16IxboTU1FQxm0+pVKLRaIDu6zlixAgcHR1RqVTIZDIsLS2NXuzHYDBQVFTEa6+9RlJSEgqFgscee4y5c+fi7+9vNDfLxIkTee655/jmm28oLS1Fq9WKkxFra2uCgoJYvHgx06ZNo7y8nPXr1/fKeft0vWNjY0NMTAyurq6cPHmSM2fOUFxczN69eykoKDCZcmVSqZRDhw5RX1+PTqcjJiaGQYMG9XsMrJWVFXPnzuXLL78EEB3t14NWq6W4uJgPP/yQ9vZ2oDv3+9IwlP5Cq9Vy7Ngx6urqEASBIUOGEBcX1+8bhpdSV1fHpk2bSE1NpbKykurqaioqKujs7LwsXnbcuHG4ublx8eJFjh49SnNzMwDh4eH9nnGYnZ3Nnj17aGlpYfbs2dTX15OcnEx+fj5arZZ3330XR0dHvLy8GD58OHfddZdRY82rq6s5duwY27ZtY+/evUilUhYuXMj8+fMJCAgw6grG2dmZJUuW4OPjI268Qvfs1tbWlqioKAYOHEhAQABOTk4cO3YMvV5PR0cH+fn5Nx310KcGtqmpiZKSEhoaGsTMiZ6MH1NBEASUSiVr166lq6sLX19fEhISCAkJ6XctFhYWJCYmigb21KlTDBkyBG9v7180Th0dHVRXV3P+/HlOnDhBSkoKACNHjmTBggVGKaah1+spKioS/z127FjCw8ONcoPpdDpycnI4ePAgX331FRcvXkSr1eLu7i4WSomIiBBDy3r2CPbv309ubi7Nzc1YWVkRGRnZ7wa2pqYGQRAYPHgw06dP5+LFi+zZs4fAwEBiY2MBaG9vFzdEjbkJl5GRwaFDh9i9ezcnTpzAxsaGe++9lyVLlhAeHn5V37VKpUKr1VJeXk5nZyetra14enqKf1tvExYWhru7Ox0dHZdFNVlaWl5Wv8HPz4+IiAjx2OLiYtMxsAaDgc7OTmprazl9+jQHDhygoKCA3NxcsQRgYGCgyWSc6HQ60tPT2bNnD2q1mtGjRzN06FCjzLYkEgkeHh5YW1vT1dXFqVOn8PX1xdXV9YoYx56iKyUlJaSlpZGSkkJaWhpKpVJMYZ40aZJR/g69Xk9lZaXo2xo4cCBeXl5GWb6q1Wp++ukn1qxZQ0dHB0FBQeJNPGrUKFxdXcVCHz1oNBrOnDkj6rWxsWH48OH97iJwdXVl8uTJ+Pj44OTkREtLC6WlpTzyyCPcd999WFtbI5PJcHFxMUo1Ovg/l8AXX3zBjh07qKmpwcvLiwkTJvDHP/4Rd3d3dDodjY2N6HQ6urq6UCqV6PV6qqqqaG1t5dSpU+J7PVFHfYWTk9M1NwRtbGzw9PTEx8eH4uJiVCrVTZ+v1wxsT4GP1tZWsrOzWbt2LcnJyeIyUSaTYWdnh5ubG0FBQSYR8mIwGGhsbOStt96ipaUFOzs75s6d269B0JdiaWnJ2LFjCQ4OJj8/X4x1tLW1vcKnWldXx5YtW8TykO3t7chkMhwdHZkzZw4TJ07Ew8Oj32dd0L2BtHHjxsuKfxjr9zYYDJSWltLS0sKMGTNYsmQJI0eO/NVN1urqaoqKimhoaEAikaBQKIwyZnv2AARB4MKFC/z00084Ojry5z//GTc3N5O4hxobG3nppZfYvXs3zc3NBAQEMG3aNFatWoVEIqGuro7GxkaOHTtGa2srxcXFnDlzBp1OR3l5OUqlEisrK4YOHcqCBQtMIllCq9XS3t7eKxE4vWZge1Lhtm7dyqZNmygvLxffk0gkBAQEMHXqVJYuXWoyaYf19fV8++23JCcnI5FIWLVqFePGjTPKTjEgxt4+8sgj/P3vf6e9vV3U+O233/7i56ytrfHx8cHX15cVK1Ywc+ZMHB0djXID6nQ6mpub0Wq1SCQS7O3tsbe3N8oGEXQnarz11lsMGDCAZ5555qpl9H5OQ0MD5eXltLS0YG1t3efZZ9eiqamJM2fOcOzYMV544QWj+rIvRRAEvvrqK3bs2CH6/Xs6cKxYsYKKigra29vFzgY949HKygpvb2/i4+MZPHgw06ZNY/DgwUYvbt+DlZUVLi4ueHh40NTUdEvfdcsGtr6+nosXL/LFF1+QlJREVVXVZe8PGTKEZcuWMW3aNIKDg42+y3kpnZ2dFBYWij/8qlWrjD54JRIJixYtQqvV8sknn1BaWvqL4VY9S9fZs2czffp0wsPDjT6rqa2t5auvvqK+vh6AyMhIoqKijBanKZFIcHV15cUXX7zua1NcXExJSYmYGfe73/3OqNc1KyuLdevW0dTUxIgRI4ym41J0Oh2nT5/mpZdeumxPpbKyksrKSvHfw4cP54EHHiA0NBRvb2+8vLxwd3fH1tZWHBPGHrN9yU0ZWEEQaG5u5v/9v/9HTk6OuATr2ZmzsLBg8ODBPPHEE0yYMAE3Nzesra1Nyrjm5uaydu1a1q5diyAI/P73v7+u2U1/4Ovry6pVq4iJiSEnJ4cDBw6we/du8f2ekJLx48czcOBA3N3dsbS0NImB2tzczMGDBy97zRR+9+u9Nk888QS7d++muroaR0dH7rjjjl8tstPXpKens3HjRrKzs1m2bJlJhLpBdyW9sLAwFi5cyKZNm+jq6iIyMhIfHx88PT1ZtGgRMpmMgQMH4uHhgYWFBVKpVKwBbcp1Y9VqNY2Njb2SZn5DBra5uZmzZ8+yc+dOcnJyOH36NB0dHajVatHP6uXlxaxZs3j00UcJDg7GwcHBKH7AX6OxsZEjR46wZcsWdDodISEhPPnkk/3eVeGXkEqlYq3aYcOGMW/ePDFcCLpdAm5ubjg6OmJjY2NS11cQBLGn2dVSTk2d4uJiampqMBgMBAYGsmjRIqNmbx09epTjx4/j6+vLww8/bDLJGhKJBGdnZ1555RVWrlyJwWDA1tYWS0tLLCwsRB+xjY2NyWS/XS9SqRS5XI6VldUtVwK8ob+8urqa/fv3s2nTJhoaGsQWID3N14KCghgxYoSYFmmqFzY3N5djx45RVlaGXC4X40VNYaZ1KT3+S2PtEN8MdnZ2REdHk56eDtxey7+e4jiCIDBw4EDuueceoxWwhu4QrOLiYiwtLZk4caLJRN70IJPJCA4ONtkiMzdLV1cXDQ0NNDQ04OzsjJ+f301/1w1ZQFtbW0JDQ5k2bZr4mqenJ2FhYWKrjYEDB5pE14JfQ6fToVarsbCwYMiQISxatMhomzC/Nezt7Rk6dOhlWVy3AwaDge3bt9PY2CjWK507d+5VC3P3J0OGDCEwMJDRo0eb/H31W0Gj0dDa2kpLSwuurq635Dq8IQMbFBTEgw8+yIMPPnjTJzQFwsLCGDNmDBqNhvnz53PXXXcZW9JvBjs7OwYNGoS7uzu1tbX4+fndFobBYDBw9uxZPD09iYuLEzt1GBOFQsF9991nVA3/i8jlcpycnPDy8rpl95tpruH7GD8/P55++mmefvppY0v5zWFra0tcXByTJk3iyJEjPPXUU0bpcnqjSCQSpk+fjo+PDwkJCXh7extbkhkjoVAoGDNmDDU1NZw6deqWvut/0sCa6VscHBz46quvjC3jhpDJZDzyyCPGlmHGBJDJZCQkJPRKN5NrGtiezYrbAbPW3ud20QlmrX3F7aLVFHVKhNstjsaMGTNmbhNMKy7JjBkzZn5DmA2sGTNmzPQRZgNrxowZM32E2cCaMWPGTB9hNrBmzJgx00f8apiWscMehgwZct3HmrVeP9er9XbRCWatN8JvUaup6rxmHOyN/Bi9yc1cMLPWa3OjWm8XnWDWej38lrWaok6zi8CMGTNm+ghzquz/j06n49ChQ5SVlaFWq7G2tsbLy4v4+HiTyUs3GAxUV1ezY8cOBEHAzc1NrA+qUCgYOHDgbVXa0MxvD0EQ0Ov1aLVa8vLySE9PRxAEwsPD8ff3x8PDA3t7e2PLBLrv+fr6enJycigsLGTKlCn4+fn1as3dXjGwWq2WpqYmWltb6ezsRKVSiQ3vnJyc0Ov1WFpaYmNjg729vdHah/wcQRDo6uqivr6e2tpa3n77bY4ePYpSqcTR0ZGEhAQef/xxlixZYmypdHZ2cv78eVJTU1m5ciX29vZERkYilUpRq9X4+vqybNkyFi5c2O/a9Hq9WAG+ra0N+L8Oub6+vlhYWJhUUfCr0dMJt6Wlha6uLmQyGa6urgQFBRlb2m2BIAi0trZSU1MjjoPt27fz1VdfIQgCU6dOZeTIkYwePZphw4aZRPcQpVLJkSNHWLNmDYcOHWLTpk1id5De4pYMrE6no7Ozk6qqKnbu3Mnhw4cpLCwkNzcXuVyOVqtlwoQJaLVa3NzcCAsLY/jw4dx99929pf+m6HnKKpVKzp8/z4YNGzh69Cj5+flIJBLs7Ozo7OwkIyODtWvXGt3AajQaMjMzWbVqFadPn8bCwoIxY8ZgbW1NYWEhZWVllJSUYDAYmDx5cr89wARBQKVSUVtby44dO9i4cSNHjx5FIpEgk8lYvHgxTz31FH5+fri5uZnETXU11Go1NTU1vPPOOxw8eJDi4mIcHR2ZN28e7777br/r0el06PV6urq6LmutIpFIsLa2BhDbr5gKXV1dpKSksG7dOlJSUmhra0Mmk4nak5KSOHDgANOmTePZZ59l5MiRRtUrCAI1NTWsW7eOffv2ERERgbe3NxYWFuh0OgwGAxKJ5JbrRN90Ty6DwUBWVhb//e9/OXXqFBUVFXR0dCCXy/Hy8iI0NJSTJ09e1p/J2tqa3NxcoxtYpVJJXl4eSUlJfP3112IH3Llz5zJhwgRyc3M5cOAAxcXFlzVwMwaCIJCcnMzf//53MjMzkUgkjBkzhvXr1+Po6AjA9u3b+fvf/86+ffuYP38++/fv75dOAkqlkrfeeouvv/6a6upqDAYD1tbWuLu7IwgCGzZs4LvvviMmJoY//elPzJ4926SMbM8KZvv27fzzn/8kLy8PnU6HRCLBYDBQUlLS75oMBgOZmZkUFBSwefNmsTYpdDe5vPfee4Hukpuurq4m00ImLS2NTz/9lL179yKVSrGwsCAwMBCpVIrBYKCyspLOzk5SUlKwsLAgPj7eqGOhpaWFzMxMkpOTkclkvPvuu8TFxaHX6zl79iyVlZU4OzszYsSIWzOywq+QlpZ2xWt1dXXChx9+KNjb2wtWVlaCVCoVhg0bJnz88cdCUVGR0N7eLqhUKkGj0QhKpVKYMWOG4ODgIEgkEsHGxkaYMWPGr53yV8/dG8erVCphzZo1wpgxYwS5XC5IpVLByspKGDlypLB9+3ahtbVVOHPmjPDEE08IUqlUcHZ2FjZv3mwUrYIgCP/+97+FiIgIARDs7OyEv/3tb4Jer7/iuCNHjgiAIJVKr/r+zZz71441GAzCO++8Izg4OAgeHh7CggULhNWrVwu7d+8WKisrhYqKCmHTpk3C0KFDBTs7OyEmJkZ47733euXcvXH8+fPnhddee02IjY0VHB0dBalUKkgkEkEikQhSqVRISEgQ/vvf//abVq1WK5SUlAi///3vBblcLsjlclHLz/+Ty+VCYGCgMG/ePGH9+vVCdXX1LZ27N45/9dVXhcjISCEkJER47LHHhJ9++klQqVSCwWAQNBqN8MorrwiRkZGCVCoVYmJihJSUlF7VeiPHVldXC2+//bbg5eUlWFlZCVOnThXa2tqEl156SZgyZYrg5eUlSKVSwcnJSbjrrruE5ORkQalU3tS5b3gGq9fraWtrE/ugu7m58eSTT3LXXXfh6el52bKlx/fWM5sKCAhg+PDhN/80uEWampp4//332bx5M/n5+cjlcvz8/HjggQdYsWIFtra2WFhYkJaWRlpaGjKZDEdHR6N18jx37hypqalcuHABe3t7xo0bx/PPP3/VpaGTkxPDhg0jLS2tz3XpdDrOnj3LG2+8wYIFC1i8eDGxsbE4OTkhl8tFf+usWbOIjo5m6dKl5Ofnc/ToUcaNG2fUzqgVFRW8//77/Pjjj9TU1KBWq7Gzs2PFihXccccdREVFieNAoVD0i6ba2lpSUlJYvXo1OTk54ixa+FnTyEtfKy8vp7a2luPHjzNmzBjuu+8+5syZ0y96r8bcuXMJDQ1FoVAwfPhwnJycxNm1hYUFDz30EHl5eRQUFNDY2EhycjITJkwwitbDhw+za9cumpqa8PLy4umnn0ahUNDS0kJ9fT22trZ4enqiUqk4cOAAJ06c4LHHHuOvf/0rdnZ2N3SuGzawrq6uLF26lEGDBgHdy/6oqCicnZ2vuPGLi4upqqpCrVYjl8sJCgoyahO5Y8eOsXPnTi5cuIBWqyUgIICnnnqKJUuWiMuw/Px8Tp06RUlJCS4uLkybNg1/f3+j6N2yZQtZWVkYDAZCQ0N55513fnFZpVAoGDx4cJ8bWJVKRU5ODsePH2fevHk89dRTBAYGYmdnd8Xvb2lpyYABA7CxscHS0hIXFxd8fX37VN+vodfr+fbbb0lOTqa2thYfHx8mTJjAvHnziIyMxNHREVtb28taS/cHFRUVHDp0iOzsbNRqtfj6r53fYDCgVqtpaGhg3759VFZWUlNTwz333CO6jvqTsLAwfH19kclkKBSKK8bCpd1lu7q6KC0t7XeN0N0ZOycnh4sXL+Ls7MzcuXMZN24cEomEZ599lsceewy9Xk9TUxNZWVns3LmTlJQUkpKSuPvuu4mLixP94NfDDRtYCwsL/Pz88PDwABAdwT8fDIIg8Oc//5mioiIA4uPjmTJlimiYjYGdnR0uLi64u7sTGhrK/PnzmT59+mUtTdLT08nPz6etrY3w8HDuueceo/m50tLSqKysJD4+nkceeeRXu4oqFAoSEhIQBIHVq1fzu9/9rk/akEulUpycnBgxYgRjx44lPDz8V69PTyNBmUyGg4ODUSNIjh49yu7duykuLiYmJoYHH3yQxMREIiIijNayPS8vj507d7J3715xUwsgLi6OuLg4oqOjcXR0RKlUUl9fT01NDWfPnqW8vJz29nZ0Oh0tLS1kZWXx8ccfc+LECd577z0UCkW/dvS1srK67t5rgiCg0Wj6WNGVtLS08OWXX7Jnzx7q6uoIDQ3l/vvvx8HBAeCyiJGuri4GDBhAcHAwmZmZlJSUsHr1alauXElcXNx1r25uapNLIpFc9WIaDAY6OjooKSkhMzOTTZs2iS2Q582bx5QpU0TDbAzCwsJYsmQJFRUVhIaGMnHiRFxdXcX3e9qSFxUVYWVlRVBQEIMHDzaK1szMTEpLS7G0tGTkyJHXXP4pFApx6f3pp58yZMgQEhMTb3hJcy0sLS3x8fEhODj4V9uyC4JAY2Mj3377LXV1dQQFBREYGGjUVu779+/nwoUL2NnZMXLkSObNm4e7u7vR9ABcuHCBU6dOUVxcLL4WHBzM/fffT2JiItHR0Tg4ONDe3i6GE549e5b8/HyysrLIzc2lvr6ejo4OMjMzyc7O5oknnmDIkCFGvdY/p7W1la6uLqNqyM7O5qeffiIrKwuFQsHQoUN/ccJnbW2Nv78/Tk5OzJs3j3Xr1pGUlMS4ceMIDAzsWwP7cwRBoK6ujqqqKkpKSjh06BAbNmxAp9Ph7OzMrFmzmD9/PpGRkb1xupumx996NbRaLfv37+fgwYPU1dUxYMAAo8XrtbW18eWXX1JbW0tQUBDx8fHXdFNYW1sTHh6On58fFy5cIDk5mfDw8F43sFKp9JrfqdfraWhoIDk5maNHj+Lg4MDkyZON7n8/ceIEHR0djBgxgtGjRxu9JTd0/9ZKpVL8t0QiYeLEiTzwwAO4urqKS21nZ2ecnZ0JDw9n7Nix1NfX8/nnn9PQ0EBDQ8Nl37l7925iY2ONZmB1Op0YF29vb48gCGRmZlJfXw90P6T7e6LV3NzMvn37KCoqwmAwMGjQIObOnXvN+GxbW1ueeeYZMYyzpqaGjo6O6z5vr/wCarWajRs38u2335Kbm3uZgPDwcIYOHYqtrS2tra1YW1ubXBtng8FAUVERn332GXV1dTg7OzNu3DgWLlxolFjDkydP8vXXX9Pa2srw4cPx8/O7rs9ZW1vz8MMP88orr/Sxwl9Gp9NRV1fH5s2beeaZZ7Czs+ORRx7h/vvvJyoqyiiaBEEgKSmJtLQ0dDodo0ePFvcCdDodgNGMkUwmQyqVXraZFR8fj1KpxN7eHisrq6su9V1cXMjJyaG6uvqyz+r1enbt2sWqVav6Rf/P0el0lJeX89NPP3HkyBGGDh0KQGpqKufPnwfAw8ODefPm9auuPXv2sHXrVpqamhgwYABTp05l0qRJ1/ycTCYjIiKCyZMnc/HixRs+b6+MKp1OR1ZWFufOnRMDdKF7YJ88eZKHHnoIJycnBg0axMKFC1m4cKHJZPYYDAbq6+t54IEHOHv2LFqtliVLlvDII48YxSAIgsCxY8dEH1V/+tFuFb1ez8WLF3njjTfErrJ//vOfWbZsmVFbdwuCwNtvv017ezs+Pj5icoStrS0lJSVotVqGDRsGcFlQf3/g4eEhRt/0RAisXLmS999/n9dff51x48bh7Ox8hZ6LFy9y4cIFlErlZe/JZDJmzpzZr/sGl0Y7nDp1ivfff58ffvgBg8HA1q1bxfckEgm2trZ4e3sTHh7eb/r0ej2vvvoqBQUFyOVyJk2axKRJk67b7y6RSJgzZw5ffvnlDZ+7VwysQqHgk08+4V//+hcFBQXk5uYiCALvv/8+ubm5tLS00NLSQklJCQcOHGDz5s18+OGHRvd/6fV66urq+Oqrr0hLS0MQBFatWsXDDz9MbGysUbX1MHPmTGbOnHldx1paWjJ+/Pg+VvTLtLW1cebMGdG4xsTEsHTpUqP/zpdSVlbGW2+9xUcffYSDgwNtbW3o9Xo8PT1RKBTMnDkTd3d3vLy8iIuL63O31sSJE3FycsLBwYHPPvtMDMUqKChg/vz5DBkyhEWLFrFo0SICAwPFz1VUVNDa2opWq73iO2fPnt1vBlYQBD744AP+/e9/U1FRIWbx9RgvrVZ7me/V2toab2/vy/6WvkSj0ZCSkkJ5eTlWVlasWLHihldTgiDwxRdf3JQPudfWRRKJBBcXF4YNG8bgwYMRBIEZM2aQn59PWloa69evJyMjg9bWVg4fPsyZM2eYOnVqb53+huns7CQ9PZ0//elPZGZmAuDj48P48eONFpZ1NW5kJmVhYcHo0aONNuu1sLDA3t4eNzc3GhoaOH/+PG+99RZLliwhJibGaEU+JBIJkydPpqur64owqJ6ohtbWVkpLS7lw4YKYhmpjY0NwcDDvvfcegwYN6rNVV3x8PM899xwymYxPPvnksvfOnTtHYWEhn3322WVGqbS0lPLy8it+a4lEQkRERL+tEHNycnjzzTepqalBKpUyevRoHn/8cSZNmiSuxpYtW0ZrayvQvZO/d+9eVqxYwQsvvNDnhlav11NQUIBKpSImJoYFCxbc0Oy5J+Y7JSUFQRAuCze7HnrV8SSRSJDL5aIALy8vHB0diYqKoq2tjebmZkpKSujs7OT06dNMmTLFKMZApVKRkpLChx9+SEZGBiqVCoB7772X+Ph4MWzDFDhy5AhRUVGMGTPmuo7vSeuLi4vr9Q2ua2Fra8vgwYN59dVX+fzzz0lLS2Pjxo2cOnWKcePGMWvWLMaOHduvmqB7XK5atYr777//Mn9lDz2B+4WFhWRkZFBeXk5paSkVFRUolUoeffRR1q9fT3h4eJ8YLrlcTnBwMM8//zx33HEHZ8+e5ejRo2RkZKBUKtFqtXR0dFBdXS1+RqPRoNVqr/h7BEHoN+MqCALff/89zc3NyGQy7rrrLpYuXSrWwxAEQUycAMQU5MbGRrZt24ZMJmPlypWEhob22V5HZ2cnX3zxBXq9HrlcjqWl5Q1dn66uLr7//nvq6+vx9fVlzJgxNxTL3aee/R6fi62t7RXFPn7Jed/XtLW18f3337NhwwYyMjLo6urC3d2dOXPmsHjxYry9vU2qiEZzczMtLS3XdaxGoyE5ORlBEEhISOh3AyuVSnF3d2fmzJl4eXlx+PBhvvjiC86ePUtdXR2FhYXk5eWxcOFCnJ2d+1Wbn5/fr24WhoaGkpCQwOjRo2lra6O0tJRDhw6xbt06cnJyWL16Ne+8806fZXdZWloSFBSEs7Mz8fHx3HHHHRw7doykpCSysrLo6upCp9OJVep6/vfSe6jH2GZkZBAfH98vG3fV1dXIZDImTZrE0qVLGT9+PE5OTnR1dfHDDz+wadMmMdHIyckJmUxGa2srdXV17NixA2dnZx5//HG8vLz65MHQUwfhZlCr1RQVFbFv3z7s7e158sknCQ8Pv6FN+n7ZOq2srKS0tFQ0FDKZzCgbSF1dXezbt4/vv/+e1NRUoDvFdOrUqSxfvpzY2Nhbrp5jLLRaLcXFxeIS08vLyyh/i4WFBb6+vnh6ehIZGYlcLhdnhikpKdTX1+Pp6cmdd95pMnVBAezt7bG3txfdQ21tbQQFBdHQ0MDu3bv56aefWL58+Q1n8twIPS4LJycnIiMjCQsLw9/fn9TUVAoLC2ltbaW2tpaWlhYcHR1xdHQkICCAlpYWMjIyxO/Jy8sjJiamTw2sIAg0NDRQWVmJk5OTmBHl4eGBTqejoqKCtWvXkpWVhV6vJy4ujpEjR2JjY0NOTg7p6emUlZWxZcsWFAoFS5YswdfX12QmN42NjWRmZrJz504KCwtJTExk7ty5uLi43ND39LmBbW9v58CBA5w8eZLq6mosLCzw8PAgLi6ur099BRUVFXz11VdkZGSg1+uxt7dnyJAhLF++XAwn0Wg0aDQasWScTCYzavZRV1fXdTnXe3xbycnJODg4GD36QC6XExERwWuvvUZeXh5ff/0127ZtIzc3l6+//honJyejbshdCwcHBwYPHsyyZcvYvXs3LS0t5OXlERYW1mcG9ucEBwfzyCOPMHHiRLFiXXZ2NufPnxdjniMjI0lLSxMNbE+yz9VcIb2JTqcjNzeXs2fP4uHhQXx8PB4eHuj1empqati1axdpaWni0vzuu+9myZIl2Nvbc/z4cb7//nvOnDlDdXU1n3/+OaNGjcLT09Po1cEEQaC+vp6jR4+yYcMGtm7dKoaV+fn53fCkpU8NbFdXF0ePHuXrr78mJycHQRBwcXFh6tSpRtlZPnHiBHl5eWKtysDAQJ588kkSExNRqVTodDqKi4upq6ujsbERpVKJQqFg8uTJQLfR6CkE0pcG7NK8/qKiIs6fP097e/svLk81Gg2FhYWsXbsWgDvvvNNkZuIymYyYmBheeuklAgMDefnll0lOTsbS0lLMATc1hP+/jGFdXR0FBQXA/6Ui97fbBbpTOC9N4ywsLCQkJASpVMqOHTvELDCJRNJvM8AeA9vQ0ICVlRUNDQ2oVCpUKhUHDx7kr3/9q1h83cPDg5kzZxIaGgp0R8aMHj2alJQUtm3bBtBnq5keN2VjYyM6nQ61Wo1Wq0Uul1/hXtHpdCiVStavX88PP/xAbm4uDg4OLF++nEcfffSmHqx9ZmANBgPr1q3j+eefp6WlBUEQUCgUjBgxgjfffLPfZgFX0wXdPrkpU6YwatQodu7cSU5ODrm5uaSmptLQ0IBer0en0yGXy8VlwaBBg3jqqacYOXLkZSm2vYlEIuEPf/gDb731Fh0dHRQVFfHBBx9QVVXF+++/L/rdemYoPUH0L7/8MpmZmVhYWLB582aTWWr14ODgwF133UVjYyOvv/66seX8Ij1ZiUeOHOG7775j69atyGQyFi1aRGhoqNFnWAADBgwQ/39sbCwDBw4UDZXBYOjz2St076HMnj2bVatWUV5eTnZ2Np6entTW1nL48GE6OzuBbr/8unXriIiIED8rk8lwc3MTw8/6EhsbGx555BFefvllCgsL2bhxI52dncTExIhFcQRBoKWlhZycHLZv38727duprq4mIiKCOXPm8Nxzz910clSvG9jOzk5yc3P5/PPPWbNmjbiDaG9vz7x583j++eeNZlxTU1PFtMTS0lJWr17Nf/7zH/H9SwenRCLB0tISV1dX3NzcWLBgAZ6ennh5efXL5sHmzZtZvnw558+fp6amho8++ohvv/2WP/zhD4wbN45jx46h1WrZsWMHaWlpODg4MHfuXKMZ157la3NzM1OnTr3CV6XT6SgpKeHMmTP9ru16qa2t5fPPP+fHH38kLy9PLGW4ZMkSXnnlFaPMXq9FTU0NNTU14mxMKpWSn5+PXq/v0/P2zAxDQ0O5ePEir7/+OqtXr6ajo4OWlhbkcjkxMTE8/fTTJCYmGu2et7a25oEHHuCLL76gsrKSt956i++//56AgIDLNlrr6+vJyMhAEAS8vLx45JFHWLlyJQEBAbe0yropS6HX6yksLCQlJYWxY8eKu20XLlwgNzeXw4cP09DQgE6nQyaTMWzYMJYvX87UqVON2pQvKCjoih+6Z0YL3bPaOXPmkJCQgLOzM9bW1vj5+eHv7y9GPVxa77QvGTFiBMeOHeO9997j66+/pri4GKVSKQ7knkwvrVaLl5cX48aNY/ny5UYxrgaDgc2bN/PVV1/R0NDAtm3bWLp06WXHdHR0sGfPHvbs2YNcLickJKTfdf4crVZLTU0NOTk57Nmzh40bN9LW1oZarcbGxoYhQ4awYsUK7rrrLuzs7EzSnVFUVERxcbE4MdDr9WzatIlHHnnkmpXOboWeDblPP/2UOXPm0NjYKK6sbGxsiIqKYtWqVSxYsMBoxhW6Hzj+/v784x//4IMPPiArK4uqqioxbhf+LxPNxsaGWbNm8dBDDzF8+HBsbGxu+Te/KQOrUql48803SUlJ4eOPP8ZgMIibMR0dHSiVSvR6PTExMcybN49p06YRHh6Oo6OjUVNkFy5cSEtLC2VlZVRUVJCVlUVnZyeDBg3iwQcfJDw8nKCgIBwdHZHL5UilUiwtLY2yLJTL5Tg7O/PYY48xZswYkpKSWL16NZ2dneLyKyIigqioKO68806mT59utIeXVCpl4sSJFBYW8sknn7Br164rZqoGg4HW1lYUCgUzZszg0UcfNarBys/PZ9u2bezdu5fy8nJaWlqoq6sjJCSEcePGMWLECKKiooiNje23wts3Q0/UwaVuo7q6OpqamvplFjt48GDWrl1LSkoKOTk5SCQSEhISmDlzJgMHDjSqce1BJpMxY8YMAgMD2b9/P8ePHycnJ4eqqiqsra1ZsmQJCoWCCRMmEB0djZ+fX6+tVm66XKGrq+tVi+b2dOO89957GTduHNHR0QQEBJhEgZfAwEDuu+8+Ojo6xJAXnU6Hl5cXgwYNwsnJyWjxub+Et7c3jo6OeHt7X5G26ebmhru7OwEBAQQEBBhJYTchISEsXrwYOzs7sXJSRkYGY8eOxdbWFktLS/z9/UlISGDgwIH9lir5S1RVVXH48GFOnz7NgAED8Pf3Z+zYsQQHBxMREYG/vz+Ojo5GqxN7vfj5+V0R+N4TBdMfvlg7OzvuuOMOgoKCqKurQyKR4OnpSUhIiEkY1x6cnZ0ZOnQonp6ejB8/nrq6OpRKJXK5XAzPDAwMxN7evldXgTdlYK2srJg5c6bYNuZSZDIZLi4uLF269DLHtinQ4xe63bC1tSU6Opro6GhjS/lFbG1tGTJkCN7e3pw9e5aGhgYyMzMZNWoUdnZ2WFhYEBAQIC5bjb0J5+7uzrhx4wgJCRHb3YwZM0ZsdWJsfdeLt7c3o0aNoqCggFOnTonxu87Ozv22WlQoFLfFfWVjY0N4eHi/Fpq5KQNrYWHBuHHjGDduXG/rMXMbY2NjQ2hoqBiOY8rExMTcFkbhWjg5OTFlyhQ8PT1Zs2YNlZWVjBkzhqCgIJOIePhfx3RKnpsxY+aGkcvluLm5MXHiRCZOnGhsOWZ+xu2xDjJjxoyZ25BrzmDT09P7Q0evYNba+9wuOsGsta+4XbSaok6J0B9bjWbMmDHzP4jZRWDGjBkzfYTZwJoxY8ZMH2E2sGbMmDHTR5gNrBkzZsz0Eb8aRWDsXbkhQ4Zc97FmrdfP9Wq9XXSCWeuN8FvUaqo6rxmmdSM/Rm9yMxfMrPXa3KjW20UnmLVeD79lraao05zJZcL0dN/NzMyksrJS7Gk2ePBgpk6diq+vr8l0LjBjxsyV9JuBNRgM6PV69Ho9KpWKPXv2iAbDz8+P+Pj4Pm161tNW5cyZM2KRmp6iwXFxcYSHh5tc5aT09HS2bNlCTk4Oer2e5uZmysrKOH36NFVVVUyePJmYmBij9gwz0/cIgkBzczOZmZkMGDDA6JXTzFw//WJgOzs7qayspL6+ns7OThoaGnjhhRcoKysDIDExkeXLlzN9+nS8vb37pFxgfX093377LV9++SV1dXXY2dmJbcQXLFjA7NmzGT58eK+XK7sVDh48SEFBAX5+fgwfPhyAY8eOcfr0aT755BPKy8tZunQpiYmJODg4GFnt1Wlra6OlpQWNRoNKpaKrqwtnZ2fCwsKMLe22obOzk6ysLN5++22WLFnC/fffb2xJv0hPXV0rK6tfLEmp1+tRKpVotVoaGxtpaWnBwsICPz8/3NzcjFozurfpMwOr1WrFvlZZWVl88803HDlyhPb2dvR6PZWVleKMMSsri88//5yuri4eeOCBPjEWGRkZfPTRR2i1Wvz8/IiNjcXf359du3bx6aefsnnzZr755htGjhxpMq1BFAoFCxcuZOTIkWIt2EcffZRdu3bxz3/+ky1btohGa8KECSajG7pbxLS1tXH48GEOHTpEVVUV+fn5lJSUMGXKFNauXWvUeqF6vZ7Ozk7UajVWVlbY2tqazIP151RWVnLgwAEOHjyIk5MTS5Ys6Ze2RTfDyZMn+eKLLwgODhZ7r/U0FNRqtWg0GhobG0lLS6O+vp49e/Zw6NAhfHx8eOGFF5g3b57YK6uv0el0tLe3o9FosLW1RSaTiZM7uVzeK9e4136lnrYL0L0cP3HiBBcuXCA7O5vk5GTKy8tRq9VAd81YDw8PZs+eLf5B586dY8eOHdjb27Ns2bLekiVq27hxIwaDgQcffJBly5aRkJCAVCqlvLycu+66i4KCAtavX8+AAQNMxlA988wzV7wml8uZOXMmvr6+/PnPf2bXrl1kZ2fzwAMPsGrVKpMobK7Vajl79iwrVqzgzJkz6HS6y4zXwYMH2bBhQ6//zteDIAhIJBJyc3P55ptv2LBhA4sXL+bxxx8nKCjIJGdPPd1Q1Wo1mzZt4tVXXyU4ONgkHwjt7e3U19cTEhIi2oP6+nrOnz/PoUOHSElJISMjA6VSiVQqZdiwYdx7771MmTKFESNG9ItxFQQBjUZDVlYWL7zwAikpKfzud78jOjoamUyGXC4nOjqakSNH3vK5esXA1tTU8Kc//YnNmzcD3X+AWq0Wq6oLgoBcLkehUGBnZ4eXlxdffvkl8fHx4ndotVoMBkOfDfDY2FgyMjJ49NFHSUhIALofBO3t7aLhj46OFt0Gps6gQYP49NNPeeONN9iwYQMfffQRjo6OPP7440bV1draysGDB3nppZfIzs7G3d2dmTNnsmzZMgwGA2vWrGHTpk2sX7+epUuX9usmXVlZGQcPHkQul3Pq1CnWrFlDR0cHb731FsePH+fRRx9lxowZuLm59Zum68He3l5sB6TX65k/fz6HDh0yOd97cXEx6enpXLhwgcjISFasWEF5eTmpqamoVCrRDTBv3jxGjx7NxIkT8fPzu6KFdl+hVqspLS3lq6++4uDBgzQ1NYlt2T/88ENRg0wmY9SoUTz99NMsWLDgls7ZKwZ23bp1nD59WuzY2oOjoyPTpk3DxcWF6OhohgwZQlhYGFKpFHt7+8sual8WB5ZIJCxZsoSlS5fi7u4uvl5eXs5rr71GRUUFgYGBzJw587JOk6aOj48Pzz//PL6+vrz77ru8/vrrDB8+XHyA9DednZ2cO3eOf/3rX5w/fx6JRMJ///tfxo0bh5ubG0VFRWIx7s7OTvR6fb8aWAsLCxoaGlCpVNTU1IgdjwFOnDhBZmYmJ0+eZPr06QwePBgfH59+0/ZreHl5MWHCBObMmcPWrVspKyujoKCAuLg4k2nLkpKSwrZt29izZw9VVVWsXbsWZ2dnfH19mTt3LhMmTCAyMhIvLy+cnJyQy+X92jkiIyODb775hh07dlBVVSVO6KDbPigUCoYOHUpGRgatra3k5+eTnJzMnXfeeUWH5BuhVwzskSNHxP5cjo6ODBo0CCsrK+bMmcOdd96JtbU1tra2KBQKow0ILy8vpFIpUqkUQRA4fvw4n332Gfv372fAgAF8+OGHBAYG3lZhT1KpFG9vb6ZMmUJ1dTVffPEF33//PfHx8UbpK9bS0kJubi7Z2dmi8erZwJDL5RgMBrRaLRYWFowYMaLfK+67ubmxZMkSDAYDDQ0NTJ8+nWPHjrFhwwZaW1tpb2/nhx9+4ODBg0ycOJEHH3yQ+Ph4o/s75XI5Hh4eJCYm8tNPP9HW1kZeXh5hYWEmYWCrqqr46KOPOHr0qHjfz549Gz8/P7y8vFAoFDg5OWFjY4OFhUW/uzYMBgNPPPEEZWVlNDU1ie3GBw4cyLBhwxg2bBgymQx7e3va29vZsmULycnJpKSk8Prrr/Pmm2/e9LlveeSkp6dTWlpKR0cHdnZ2xMXF8Yc//AEbGxsiIiJEw2ZsLr1JMjIy2Lx5M7t376ajo4N58+YxYsQIkxisN4pcLicoKIhhw4bx6aefcvHiRaNp0el0dHR0oFKpxNe6urowGAzodDpKSkrIyMjAxcWFmTNn9vu4sLCwwNvbGwAPDw98fX2Ji4tj9OjR7N69m87OTrRaLVlZWWzbto2uri5WrVplEq1lelxs0G0wVCpVn3eNvV66urqoqanBysqKO++8k/vvv5+BAwdib29v9HtKEATa2trIysqiq6sLgDvvvJNZs2YRGRmJr6+v2DSypzOvVqulurqazZs3c+DAAfLy8oiKirqp89+ygT18+DBNTU0IgoCPjw933HEHkydPNumZ4MmTJ0lJSREHRX19PevXr0cikRAYGEhgYCCenp4m3a75UmxtbXF1dRV938bCwsICe3t7rKysUKvVREREEBISgqWlJRcvXuTo0aNkZ2fj5ubGoEGDjKazR6ubmxtubm4kJCQQGBiIWq2ms7OTNWvWsHfvXlJTU1m8eLFJGNgeTKnjMXQb+5MnT9Le3s6gQYOYPXs2Y8aMMfqsvwetVktqaqr4MOpxt8yaNQtXV9crjpdIJDg7O+Ps7IxWq6WsrIzdu3cbx8DqdDpOnz5NW1sb0N0a19vbmwsXLgDd3Wd1Oh16vR6ZTIazszNubm5Gn9HW19fT3t6Oh4cHEomEkydPkpaWRktLC6NGjRL/Gzx48G3hk9Xr9Wg0GiQSyS35i24VhUJBYGAgoaGh5ObmEhsbS2JiIvX19aJ/rr29ncTERJN7ePU08KysrGTnzp1YWVkhk8lMeqJgChQXF/PVV19hMBgYP368mK56qX+7h0vDoPoLjUbD7t270Wq1WFlZMWnSJAYPHvyrG4RVVVVUVlai1+tpbW1l27ZtrFq16qa035KBLS8vJzs7m87OTgCKior47LPP+O677wAIDAykubmZ9vZ2HBwcuPPOO7n77ruxs7MT/bLGID4+HpVKRWdnp7gsaG5u5uDBg6SmpnLgwAEx+WH27Nk4ODiY3MzhUtra2igvL8fS0pLRo0cbTatCoWDgwIHMnTuX3Nxczp07R2dnJ5988gmbN2+murqayMhIo4Rn/Ro9vmGVSsWWLVs4deoUOp0Ob29vPDw8jC3PZNFoNLz//vscPnyYZcuWMXjwYCQSCUVFRVc9XqFQYGNjg0wmw8rKqt9CCiUSCRKJBD8/P1auXMngwYN/dZJXXFxMSUkJ0P03pqeni+F9N8pNG1hBEPjb3/7GhQsXxGVpfX099fX14jGpqanisQAHDhxg9erVKBQKlixZwl/+8hejGIM5c+YwZ86cK17XarW8+uqr7Nmzh7y8PFauXMnmzZv56quvTC4k5lLOnz9PUlISMpmMiIgIY8sRf9OLFy/yu9/9jvT0dNRqNRMmTODhhx9m5syZRlb4f+j1empqajh+/DjvvvsuZ8+eRavVsmTJEl599VXRP2cqXBpvbkx0Oh1paWl89NFHqNVqTp48SV5eHjU1NRQWFmJhYYGFhQUdHR3iZyIiIvDz88PT05OZM2eycOHCPo877lnV9WxwXytyoaurC5VKhUajAbpn3S4uLjdtp25pBtva2vqrP7a1tTXW1tYYDAY6Oztpb2+nvb0dqVTKJ598wuzZs4mJiTGZ4G4LCwtefvllnnvuOZKSknjvvffYt28fL7zwAh999JHRXRtXQ6/XU1FRQXFxMaNGjTJaRaEeHB0dxQBtvV5PUlISjo6O3H///TzwwAMMHTrUqPoupbq6mq+++or33nuPmpoa3NzcmDx5MgsXLmTcuHEmE6Z1KaZgXAHRV61Wq4mNjSUoKIghQ4YQGhqKk5MT/v7+REREsHPnTvEzSqWS3NxcDhw4wEMPPcTGjRt56aWXiIuL6zMbYGdnx0svvXTdkQDvv/8+X3/9NTk5OUD3rPvVV181joG96667OHDgAGq1Gmtra7y9vfH398fS0pKRI0cyZswYXFxc0Gg01NfXU15eTnp6OmvXrqW2tpa//vWvfPHFF7f0hOhtJBIJDg4OzJ8/n4iICF555RXWrVvHzJkzmTp1ar+HFl2LpKQkfvjhBywsLFi5cqXRs9A6Ozsvi2RwcnLitddeY9q0aSY3G2xsbCQpKYna2lpGjBjBq6++SlxcHI6Ojibre+1xaRkbhULBu+++y8qVK/H39xdnrD0zRalUikwmY/r06eJnBEFAr9fz6KOPsnXrVr788ktmzJjBp59+yvjx47G3t+8TrT22pbS0lNWrV/PEE0+QmJh42YTpzJkzbNq0iQ0bNlBRUSH+jYmJicyePfumz33TBlYikTBjxgyysrKIjo7Gy8sLd3d3PD09kUgk2Nvb4+joKMY/9qT7BQUF8f3336NWqzl8+DDNzc3icaaCRCLBysqKAQMG8MADD5CUlMRnn33G+PHjTcrA5uXlsXPnTpRKJffcc0+vpPbdCk1NTRw+fJiPPvpIfM3Hx4fBgwfj6+trUr9xDz3ZhpWVlXzwwQc4OTkxZswYxo8fz4ABA4wt7wpMaSJib29PdHT0r94TV3svMDCQe++9l2HDhnHffffx6aefEhER0acG9r777mPDhg0kJSVhZWVFe3s7gwcPBrp98B999BF79uyhtrYWrVYLdMeZ29jY3JKuWxrxPj4+LF++HE9PT+zs7LCysrpm3JtWqxWfwPb29v2WJncz2NnZMXjwYAYOHEhGRgYVFRWEhYX1y+ymtbWVoqIiKioqKCoqori4GI1Gg7W1tbgLunv3bgoKChg0aBDz5s3rswF6vVy8eJGdO3detsnR0tIiVk4yNQPr6+vLH/7wB3bu3EleXh4lJSXU19dz7tw5Ll68yNKlS00qROtSTp8+zbRp04yW1qvRaDh8+LAYfXEjyOVyPD09cXR0xNnZmaysrMt8tb2NRCLh8ccfR6PRsHPnTnbv3k1RUZEYEy0IAocPH6aqquqy2GJbW1uio6NvyT7d0ojvSS6oqakhICDgmoUaKioqOHnyJHq9HktLSwYPHoxCoTBJ3yYghpb5+vqSn59PbW0tQUFBfW5gy8rKSE5O5uzZs9TW1tLU1ERtbS3Nzc0YDAbS0tJwcnIiIyMDPz8/wsPDCQkJ6VNN10Kj0XDhwgVOnz6Nl5cX0dHRHD58mMbGRurr6+nq6jK5ervOzs7MmTMHPz8/MjMzKS4uZv369WRkZGBra8uQIUNMxsBaW1sTFBSEjY0NKpWKvLy8yxI6+hNBEGhtbeXzzz8nMTERCwuLGzZCPQkAHR0dWFpa9vkka8iQITzwwAOoVCqOHDnC/v37r/mZS/cTbpabMrA9F2ffvn3k5eVhYWHxq09Tg8FAfX09x44dE/8wHx8fZsyYgUKhMNkZLHTPuJVKpVhlp6+19qTqrVmzBgBvb2/CwsIYPnw4FRUVnDp1iiNHjoi7oW5ublRUVJCZmUlQUBDu7u5GeWAplUpKS0upra1l4sSJ/O53vyMrK4uamhrUarXJZB39HLlcztChQ4mIiCA9PZ3du3dTW1sLXD2W01j05MqHhYWRmZlJXV0dTU1NaDSafndbaTQaKioqSElJuSl/sMFgQKlUcvjwYSorK1mwYEG/1DMeP348Op0Oa2trzpw5c8WYbG5uprm5WXQR9IQd3go3ZWA1Gg379+/n0UcfxdPTk9///ve/GOCu0+moq6tj3bp1bNy4kezsbKysrJg6dSqPPvqoUYyrwWAQ49p+zRhptVpqamrIy8vDy8uLmJiYPp2F6XQ68vLyeOmll0hMTOTpp59m+PDhuLi4oNPpqK6uZuXKlVRUVBASEoK9vT21tbV8/vnn7N27l0WLFnH//fcbJXazoaGB+vp6rK2tiY2NZdSoUTg6OorGyhTpSYtsaGjg0KFDrFmzhqKiIhwdHYmJiTFa0ZyrIZFIcHR05MEHH+SZZ56hqKiIM2fOEBQUhJ+fX79q6ejoIC8vj/DwcGxtbW/oHtbpdLS2tpKRkcG7776Lq6srK1asEJfrfYlMJmPKlCn4+PhQVlYmFnvpYevWrWzdupWGhgasrKywt7e/5dXqTRnYtrY27r33XtRqNbNmzWLKlCnij3zpE02lUnH27Fmee+45MjMzUavVSCQSMRzGGMZVpVLR3NyMSqXC2toaPz+/q+q4NPmgoaGhX+Jge0Ku7Ozs+Oyzz/D390ev15OTk8PmzZv59ttvqa+vZ/ny5bz88ss4OjpSVVVFcnIya9eu5dVXXxWLl/d36Ft+fr5Y+u12QalUcvr0aTZu3Minn34KgKenJytXrmTp0qUEBQUZV+DPsLS0ZOLEiWLBopaWFjG/vr/pKaTf0dGBo6Pjdd3LGo2GnJwcfvjhB7744gtsbW15++23iY+P79dZeExMzFVdPwUFBezZsweAyMhIFi5ciL+//y2d66ZdBD0/bEtLC/n5+XR0dIj//+TJkwiCwO7du6mpqRGn3BKJBH9/f37/+98zf/78WxJ+MyiVSh5//HH27dtHY2Mjw4cPZ8+ePVekbZ47d47Dhw+zf/9+du3ahUQi4Xe/+12/+BB7/Ft//vOfMRgMFBcXU1xcjMFgYOrUqfzxj38kNjZWHNB+fn4sX76ce++9l/z8fHGAGBOdTkdubq7YtaI3ZgK9TU1NDdu3b+f555+npaWFoKAgli9fzuLFiwkICDA5vdA9A4uKikIqlaLX60lOTiYxMbHfox16/MFdXV10dHRcV6ZjQUEB33//PVu2bCE/P5/w8HDWrVvHwIEDTc5F2LP30huz6psysDKZjMDAQMrKyti7dy9HjhwR4/MMBoOYBdFThwC6QzPGjx/PzJkzxfCI/sZgMFBTU4NSqcRgMHDmzBliY2MJCQkhMTGR4uJizp49S1NTk/gACQ4O5k9/+hPz58/v88pAcrmcgQMHEhoayvbt20lISCA8PJwlS5Zw5513EhQU9Is+657mjZGRkUZJ3OiJfVQqlZw6dYqWlhba29uJjY1lwIABJtUzTKPRcOzYMdasWUNnZydTpkzhs88+w83NDWtra5PddIXuSUpYWJhRq6bZ2toSFRXFgAED+O9//8sLL7yAk5PTVcelRqPhxx9/5I033qCkpISwsDD+9Kc/cffddxMREWFyxhW6r7GlpSXW1tY3nSLbw00ZWFtbW5555hmam5u5ePEiPj4+VFdXk5aWRmlpKf7+/jQ0NPDaa6+JBVVcXFzw8fHBw8PDaLvJCoWCl156SayUlJ2dTUVFBQ0NDeTm5oppcqGhoURGRhIREcGUKVMYNGhQv9RNkMlkBAUFsX79ejo7O7G1tRXr6Do5OV1zGSWTyYx2bePj44mLi2PXrl0cPXpU7BX/4osvEhgYaFI30u7du/nmm28oKSlh3LhxvPvuu/j5+Zm0Ye1BIpHw2GOP8be//c2oOqysrIiLi2Pt2rXk5+czbNgwXFxccHBwQCqVcuHCBXx9fUlJSaGyspLIyEgefvhhhgwZQnBwMK6uriaTwflzdDodJ0+e5OOPPyY2NvaWEmRuysBaWVkxd+5ctFotTU1NODg40NbWRnV1NS0tLTg4OKBSqZg0aZLoBLe0tDRKsd1LkclkJCYm4u3tzR133EFdXd1VfVg9ZexcXV0JDAzs16I0VlZWxMbG9tv5egt3d3fi4+OJjY0lMzMTgHvuuYfRo0ebVOWsrq4uMjMzqampYfz48Tz66KNiQ8nbAYlEwpw5c3BxccHJycloYWQ2NjY8+eSTWFtbk5aWRmVlJUFBQQQFBWFtbU1xcTF1dXWEhIQwffp0AgICCA4Oxt3d3aSSda5GT8nCkJCQW773b8rASqVSk9sAuF7s7OyIjIy8rW6q2wErKysSEhJ4/PHHOXfuHA4ODtx11124u7ub1ExFpVJhMBiIiopi1qxZTJw40diSbpjg4GCCg4ONqsHCwoKxY8diaWlJWFgYzc3NeHp64unpKfpopVIpgwYNMql6I7+Gn58fdnZ2WFpaEhcXx/z582/ZtWVaqTVmblt6fINhYWHGlnJNEhISGDJkCGPHjr0tbnxTZvjw4QwfPtzYMnqFoUOHcscddxAYGMjEiRMZM2bMLX+n2cCa+Z/CxcXlqqUqzZgJCQnhww8/7NXvNH2vvhkzZszcplxzBtuzG3w7YNba+9wuOsGsta+4XbSaok6JYArFJc2YMWPmN4jZRWDGjBkzfYTZwJoxY8ZMH2E2sGbMmDHTR5gNrBkzZsz0Eb8aRWDsXbkb6ZBq1nr9XK/W20UnmLXeCL9Fraaq85phWsZqA30zF8ys9drcqNbbRSeYtV4Pv2WtpqjTnMl1G6LVatmwYQNnzpyhvb2dyMhIpkyZYjL9o8yYMdPN/6yBNRgMNDQ0cOzYMWpqapBIJEyaNAl/f3+TrfbTU4z71KlTfPHFF6SlpaFUKpk2bRojRowwtrxr0tTURFFREQ0NDdx5550mc50FQeCLL77A3d2dcePG9Uv3CjOmgVar5fjx42K35t7ufNxr36bRaGhra6OpqYnOzk5UKhWCIBAQEICnp6fJVYjX6/WUlZXx3nvvceDAASQSCW+99Rb33HMP3t7eJlcb1GAw0N7ezokTJ3j//ffJyMigq6tL7E/v7u5ubInX5MKFC3zzzTeUlpYycuRIkzKwzzzzDJGRkXzxxRcmaWAFQUCtVtPU1IRSqaS9vR2tViv2lZJKpdjZ2REcHGxS5SFNnc7OTj799FPkcjlvvvkmbm5uvXrv37KB1el0dHR0UFpaytGjR9mzZw/5+fnk5eUB8Mc//pEnn3wSf39/kyq6LJfLsbe3x8vLC4lEgkQiYc2aNQQHB3PHHXf8YhNHY9DTxffUqVO8+eabHDt2jEGDBnHx4kXa2trEbgKmjFqtJi8vj0OHDhEdHW1yVaykUinZ2dnU1dWhVquxsrIytiSgeyKgVqtpbW2ltLSUXbt2cebMGbKysmhpacFgMGAwGJDJZISGhvLOO+8wbtw4Y8u+bdDpdOTk5JCZmcl9993HyJEjsbOz67Xvv2UDe+7cOV599VVOnDghtryVSqXI5XIUCgWrV68mOjr6V9t6GwOJRIKVldVlT/uCggL+8Ic/8Oabb7JgwQIjqrucxsZGdu3axXPPPUdDQwNDhw7lm2++4Q9/+AO5ubkEBgaa1LW9GhkZGRw5cgQ7Ozveeustk5pl9WSLq9VqUlNTCQwM7Pc+V1dDr9dTWFhIUlIS3333HWlpaeK4HTt2LEOGDCE8PJy2tjYOHz7M6dOnOXDgAGPHjjWpycztwr59+4iKijINA9vT1HD58uU0NDTg5ubGlClTmDBhAiNGjEAQBA4ePMi//vUvLl68SHNzs8kbAYDS0lJaWlqMLUOkurqab775hrfffpvW1lbi4+P58ccf8fLy4t///jcXL17E1dUVR0dHY0v9RS5evMgnn3xCTk4O8+bNIyAgwNiSRDQaDXv27BFb9EyfPt0kjCvA9u3beeedd8Sed05OTixcuJCnn36aqKgo5HI5EokEg8HA6NGjefTRR8nIyDC2bDOXcFMGtquri40bN7Jq1So8PT154YUXmDhxIr6+vlhYWGBhYYEgCLS3tyOXy9mwYQMJCQkmV4w5ICCAP/3pT6xZs8bYUq6KwWAgOTmZH3/8kc7OToYMGcLXX3+Nl5cXUqmU4OBgAgICTHq2olar2bRpE5mZmURFRbFw4UJjS7oMvV5PcXExOp0OS0tLk7qWhw8fpqSkBEEQiIiI4N1332XUqFHY2NiILpaezsP79u3j4sWL/RaqJAgCtbW1JCQkkJCQQFRUFEOGDMHPz++6Pq/VasnMzMTb25uFCxeajEumt7kpA2swGKisrOSuu+5i+fLlDBw4EBcXlys2snr+bcz+7b+GVCrt135bN8rhw4fZsWMHeXl5hISE8Kc//Yng4GDR33o7+F4//fRTvvvuO2xtbRk1apRJzV6h28CWl5djikXlhg0bxunTp6mqqkKlUpGbm8ukSZPE31wQBE6dOsWGDRvYuXMnUVFRPP/88/3ykNDpdOTl5VFfX8/Ro0fJzMxk27ZtN7Rx2dHRwfDhw5kzZ47ZwF6KpaUlU6dOZcKECcTFxWFjY3PFjyoIAmVlZRgMBiIiInB1de0Vwf8rdHV1sWfPHrKysggICBAbCPZ2GElfUl1dzbZt22hvb2fGjBkmFZp1OzB27FgaGxuRSqVkZmby/fffo1AoeOihh5BKpZw8eZK1a9dy5swZoqKiWLp0ab+5N9RqNT/++COCIODv74+Xlxf19fXiJiF073N4eXnh7++PVCqlvb0dvV6PRqPhzJkzSCQSFixYYDKThAEDBvR6V+abulvlcjmDBw/+xfcFQUCpVLJjxw40Gg3BwcE4OzvftMj/RU6dOsXRo0dpaGhg2rRpzJs377a7hj2t0YOCghg+fLjJuYigezVWUVFhbBlXxc/PjxkzZmBtbY2DgwM5OTmsWbMGZ2dnJBIJe/fu5ezZswQFBbF48WKmTJnSb9EZOp2O/Px8oPtBMGrUKJRKJXV1dWg0GvE4b29vsSV6e3s7tbW1nDlzhoyMDBQKBVOnTjWZh66Pj0+va+mT6ZBWqyU3N5fNmzeLIUZ5eXnY2dnh7e1tcnGGP18ednR00NHR0au7iTfKjh07KCgowN7enujo6NuuC65KpWLLli20trYSFRWFn5+fycVCQ/dYTUtLM7aMXyQ4OJhFixYRGRnJhg0b2LBhAy+//DISiQRBEBg+fDjz589n8uTJ/bq6kUqleHp6AhAfH8+MGTOuaxM7NTWV06dPY2FhQVxcHKNGjTKZcaFSqdDr9b36nb3+i+j1eurr69m4cSOCICCVStm2bRtJSUmMHDmSp556irlz55r0UrewsJCioiJiY2ONcv6eWVVXVxcTJ0687eIae8KL9uzZg4uLC7NnzzaZnfmfo9VqaW1tBcDGxsZklquX4uDgwKhRowgJCaGyspIff/wRuVzO66+/zsKFC43i15bL5cTFxd3QZ7RaLSUlJZw+fRpbW1tWrFiBvb19Hym8PiQSiThrPXXqFCNHjuzViJxeH03V1dV88MEH/Oc//0EqleLg4IC3tzeWlpakpqby5ptvkpOT09unvWkEQRATDXr+i4+PN5pxhe7l1/79+2ltbSUhIYH4+HijabkZdDod2dnZNDU18cc//pExY8aYZBiZSqXi/PnzqFQqAB566CFxVmZqKJVKTpw4wZ49e8SHwMWLF2lsbDSKHqlUipOTkxgqdj30bNpWV1fj7u5+wwa6L7CwsGD8+PEA1NbWXube6A161cA2Nzdz9OhRPvzwQ8LCwti1axenT58mLy+PdevWMX36dIqLi/nPf/7Tm6e9aWpra1m7dq2xZVxBV1cXgiAQGBiIl5cX1tbWVxzT0tJCfX099fX1tLW19frS5mbR6/XU1tbyn//8BycnJ+Lj443qavk1Ojo6yM7Opr29HeCGjEV/olarOXv2LH/961/p7OwkKSmJBQsWsGXLFl577TV2797d75qsra154IEHOH36NAsXLryu/YHdu3eze/duvLy8WLFiBVFRUf2g9Nfp2S8CxIlgb9KrBtbJyYkRI0bw/PPP8+6773LHHXcQEhKCnZ0dU6ZMYdq0aeh0Og4cOEBubm5vnvqm6OzspKioyNgyLkMQBNatW0dXVxdOTk7Y2dldFvNYUVHBm2++ybhx44iLiyM6Oppx48bx1FNPsWHDBiOrh9bWVlJSUsjMzGTmzJnExsb2+s5sb+Hm5sa8efPw8PAA4NixY7S1tRlZ1eWoVCp+/PFHnnnmGSorK3n33XeZMGECH330EU8//TQFBQX8/e9/57PPPut3bZaWlsTExODq6nrNzbXCwkLKy8vp6urCw8ODO+64o39EXgNLS0smTJjQZ9/fq45QiUSCj48PDz/8MAqF4jLntaWlJYMGDWLu3Ln8+OOPJCcnExkZaVSflyAI6HQ6k4qB7AltkUqlFBYWUlFRQWdnJ/b29iiVSlauXElaWhoymQx7e3vq6+vJz8+nqqqK48ePk56ezl/+8hfs7e37fTam0+koKytj06ZNBAUF8fzzzxvdx/Zr9KSd9lynnJwcGhoa0Gq1JrPxcuzYMbZt20ZzczOPP/44CxYswNLSEktLSx588EF0Oh1JSUls3ryZwYMH93tN1OuNWkhJSSE/Px9/f3+mTJliMhElcrmc6OhorK2tKSkp6fV4/V63bhYWFnh5eV011zwwMJAxY8YglUpZt24dFRUVYjWg/sZgMNDZ2WlSabE9DB48GBsbG1QqFe3t7aJfSKfTkZ6eTkdHB08//TQvv/wy//73v1mxYgWhoaGUlJTwww8/8O9//5uOjo5+111UVMS2bds4c+YMAwcOJCIiwuSKuvwciUSCg4MD0F1OMT09ndraWiOr6qa0tFSMhY6IiGDp0qWX+Yh9fX2ZN28eY8eOpbS0lK+//tpo99O1SElJobi4mODgYCZMmHBVt5cxkEqlBAQE4OXlRUVFhRjD21v061a+s7MzsbGxJCQkcOTIEfLy8oxWGlCj0VBfX8/58+fFza0etFqtUWcx/v7+REVF0d7eTlZWFtnZ2YwfPx4LCwtGjhyJjY0NixcvxsPDA6lUSnFxMQMGDCApKYlt27axdu1a5s6dS3R0dL9lyHR1dXHu3DmSk5ORy+XMnTvXZOIbfw0LCwsGDRrEhQsXMBgMYi2K60357EvS09M5ffo0lpaWTJ8+nYEDB142TiUSCdHR0UyfPp2ysjL27t1LaWkpwcHBRlR9JRUVFeTn56PVagkKCmLgwIHGliQikUhQKBQ4OjrS2NiIWq0WN757g361bHq9HgsLC8LDw5HJZCiVSqMtz7VaLS0tLZSXl1/xXk1NDTU1NUZQ1Y1UKmX69Om4u7tz4MABNm3aRFFREXK5nFWrVrFy5Uq8vLywtLRELpcTFhbGvffey6pVq3B0dKS0tFSc6fYXlZWVpKenU1RUxPDhw1m8eHG/nftW6HlomeLmVlpaGqWlpYSGhjJ9+vSrrgZ6HhDz5s2joaGB48ePG0HpL2MwGDh48CCtra14enoSHBxsUqVAL6W9vZ3m5uZencX2moEVBEH875e4ePEiGzZsYN26dWL1LWPNEq2trfHx8SEhIeEy7T1VwA4dOmTU5dacOXOIi4tDrVazefNmXnnlFSorKxk8eDDx8fFIpVKxFqjBYMDS0pKwsDAGDRqERCKhsbERrVbbL1oNBgOpqamkpqbi4uLCvffeazJLwBvFlJbYlZWVKJVKLC0tfzUSQ6FQ4Ovri7OzM+np6Sa1p6BSqdi0aRONjY1ERUURHR1tMv7tn1NVVcX58+dpbm7ute/sFQNrMBhQKpU0NTWJIS8/R6fTUVhYyMGDB5FIJMycOdMoGzE9WFhY4O7uTnh4+BXvHT58mKSkJKqrq42grJuwsDD++Mc/Mnr0aBoaGti0aRNLly5ly5YtVFVVUVVVRWlpKcXFxRQXF5OTk8OOHTsoLy/HwcGBoUOH9lvN1fr6enETIz4+nmnTpvXLeXuLS8dgWVmZyfjlr/fesLS0xMPDgwEDBnDkyJE+VnVjFBQUcOjQIdra2oiNjTVqfPn1kJWV1as++F7xwR44cIA33niD1NRURo8ezbfffnuZM76yspLvv/+e77//ntLSUpYsWcJHH31k9GWZn58fv//978VyhZfqMYWMnhEjRvCvf/2L4cOHs3HjRtLT07nvvvtwcnJCEARUKtVls1SpVIqLiwubN29m7Nix/TZT+Pbbb0lPTycmJoYHHnjgtqqMJJPJiIqKwsLCAo1Gw5EjR5g/fz5jxowxtjRCQkJwcXFBrVbT1taGt7f3VY9rbGwkLS2NY8eOMX/+/H5W+csIgsDq1avp6urCzs4OX19fMSTuf4VeMbCenp5iL5vq6mqysrLw9PRkw4YNfP/995w9e5bGxkY8PT1ZunQpzz77rNGNK3SHaLi6uuLm5nZZRoytrS12dnYmkc4bFRVFUFAQixYtIjU1lY8++ogzZ86IO/SVlZU4OzszfPhwgoKCWLp0KREREf26DFOr1Tg5OZGYmMidd97Zb+ftDSwtLRk3bhxWVlZoNBqTchE8/PDDVFRUsH37dh566CGeeuop7rnnHnFc6vV6jh49yvr169mzZ4/4QDaFe0sQBLGUoU6n44knnmD8+PEmm3TSV/SKBQkNDWXJkiV0dnayd+9ennvuOSIiIsT4TLlczqRJk7jrrrsYN24cPj4+vXHaXsHR0ZH33nuPLVu2sH37djQaDQsWLODee+81CWe8TCZDoVAQHByMm5sbiYmJdHR0iHVsNRqN2F/M2toaNze3fvdxhYWFIZPJKCgoIDs7m6FDh/br+W8VS0tL4uLiOHnyJGFhYSZTWtPLy4sHH3wQW1tbkpKS+Nvf/saXX34prq56OiNrtVoSExNZtWqVyTS/NBgM1NXVUVNTg16vZ+rUqSYT+3o13N3dkclkODs792piTK8YWBsbG0aMGCH249qzZw9lZWVERkby8MMPExkZSVhYGMHBwXh4eJjEzLAHS0tLJk+eTEBAANOnT0en0xEXF0dkZKRJOeMtLCxwcXExCaP/c0aMGCFW2Telh+f1IpVK+ctf/kJlZSWenp4mkSMP3Sus2NhYbG1tGThwIKdPnyY3N5f09HSguyD3yJEjiY6OZvDgwSQkJJiEawu6Z7BarRaNRoMgCDg7O5vsxqdUKuW5557jnnvuISEh4RddMTdDr1m6np7yCoWCwMBAurq6GDRoEOPHjycwMNBk/XISiQRXV1dGjRrFqFGjjC3ntsTf3x9/f39jy7gl7rrrLmNLuCr29vbEx8cTGhpKQkIC586dIyEhAYPBwLBhw4iNjSUoKMjk+t3p9Xry8vIQBMEoq6obpa9+/16dSvaEXk2ZMqU3v9aMmf9pJBIJ9vb2DBs2jGHDhhlbzjUxGAw0Njby448/IpFIGDZsmEmnTPclprGeMGPGzG8GlUpFdnY2u3fvFmsm/K9FD/RgOs5QM2bM/CawtrYmPDycadOmUVlZydSpU02yHnB/cE0D2+NQvx0wa+19bhedYNbaV9ys1ueffx7oLlXYH5jiNZUIppRXZ8aMGTO/Icw+WDNmzJjpI8wG1owZM2b6CLOBNWPGjJk+wmxgzZgxY6aP+NUoAmPvyt1IfyGz1uvnerXeLjrBrPVG+C1qNVWd1wzT6u8maj3czAUza702N6r1dtEJZq3Xw29ZqynqNLsIzJgxY6aPMBtYM2bMmOkjzKmyZsyYMD2dj/Pz89HpdJe95+rqyuDBgwkKCjL59uj/q5gNrJn/SfR6Pe3t7dTX19Pc3CwWWbazs8PZ2RmFQmH0usX19fUcOHCAzZs3k5KSglqtRqvV0tXVBXQXOn/22We5++67TabQ9i+h1WopKSmhubkZJycnQkND/yceCmYDa+JotVrUajUajUacwVhbW2NnZ2eyA1Sv19PZ2XmZZujuzmBlZYWlpSWWlpZGVIjY4nrjxo3s3buX4OBgJBIJcXFxTJ48mREjRuDn52fUAtZbt27lk08+obq6mtjYWKysrKiqquLcuXNAd47//v37CQkJYdKkSSZTbPtqNDY28re//Y3k5GSmTJnCZ599hoODg7FlXYEgCOj1etRqtfggs7Kyws7O7qZa8fSbge0pefDz0gemMCh+rqnn3xKJxOj9jQ4dOsT27ds5fPgwmZmZSCQSFi9ezF//+ldCQkJMrpC5Wq2mqKiIjz76iMOHD5OTkyMa2QEDBjB58mSmTp3KnDlzjKaxs7OTpKQk/v73v1NWVgZ0G1yAU6dO8cMPP7Bo0SJefPFFgoODjabz0KFDFBUVMXXqVN544w1cXFz48ssvWblypThG9+7di6urK9HR0fj5+RlN67VoaGigq6sLGxsbnJycjP6A/SWUSiW5ubn8+OOPbNy4EYPBwIwZM3jllVdwdXW9YXvQZwZWp9MhkUjQ6/WUl5eTmppKeno62dnZHDx4EIChQ4eybds2PD09+9WQdXV10dXVhVqtpr6+nlOnTgHQ0dFBWloa2dnZtLS0EB8fz6effmq0avEZGRl88cUX7Ny5k/b2dtHgb9y4kTNnzrB48WJmzpzJwIEDTaaZXFVVFW+//TZffvklAMOHDxdbujc0NLB+/Xr27t1LbGwsISEhRtGYmZnJwYMHKSsrQyKR4OnpSWRkJJmZmbS2ttLa2squXbtQKBSsXr3aKBqhe4ba1NTEvn37mDt3LnK5nAsXLiAIAtbW1mg0Gtra2jhx4gRbtmxh5cqVRtN6LVJSUigqKkKhUODp6WmS7WM2bNjAxx9/LI6DHj777DOeeOIJnJ2db3jVeMsGVhAEurq6UCqVnDt3juPHj6NWq9mzZw9ubm5kZmaiVqvR6XRotVr0er349D179izt7e1iw7G+wGAwUFNTQ05ODsnJyZSUlFBaWkp9fT0dHR0IgoBOpxM12dnZ0dnZia2tLfb29kabIXZ1dfH5559z9OhR2tvbr5hlFxcX884776BUKnnooYeM3kcqNTWVpKQkjh07RnV1NU5OTuzduxdfX180Gg1dXV00NDTQ2NiIhYUFzz77LOXl5Xh7e7N69WrCw8P7TeuAAQOYN28eMpmM0tJSPvroIzw9PfnPf/7Dxx9/TE1NDUqlksrKSjo6Ooz28Jo6dSqNjY1cvHiRlpYWJBIJOp2O4cOH8+KLL/L222+TkZFBV1cXbW1tRtF4KfX19eTm5tLc3MzcuXMvey85OZmCggKTm2ULgkBrayuvvPIK69evp7m5Ga1Wi62tLS4uLigUCpqbm/Hx8bmp1fYtGVhBEEhOTuazzz6jrKwMlUqFUqlEr9fT0tKCpaXlVY1Dz2w1ISHhpn0b10NbWxtHjx7l1VdfpampCbVajYeHBwEBASQkJODh4UFUVNRlT1NnZ2c+++wz8vPzCQoKMtrNlZaWxqlTp6itrQW6W6PffffdTJ06lYqKCl5++WUaGxv56aef6Orq4t5772XMmDH9rrOkpIR9+/axY8cOMjIy0Gg0JCQk8NJLLxETE4OlpSUGgwFBEPD39+f8+fO8+uqrHDp0SHww9/i6+gsXFxcmTJhAQkICarWa4OBgsrKy2LFjBy0tLQDiTMuYLqzHHnuMqKgozp49S1NTE1KpFG9vb+bNm0dAQABfffUVMpkMQRCM3m78448/Jjk5mQsXLhAVFXWFgW1paaGrq+sKW2Bsurq62LNnD+vXr6eurg6DwcCdd97JnDlzGDZsGJaWlqSmpuLk5NT/PlidTsfhw4c5d+4clZWVaDSay79cLsfBwUF0Gmu1WvH14OBgXnzxRZycnPpkEOt0Ourr68nMzCQqKkrs0Ont7Y2rqysKhQKFQoG7u/tlu8UdHR0oFAqkUinW1tZGu8F6jKtGoyEwMJAZM2awfPlyBgwYQFtbG0qlkvfff5+qqirS0tKIjo7udwNbW1vLO++8w8mTJykqKsLV1ZU5c+YwZcoURowYIc7+e1Yner2epqYmjh8/Li7B7O3t+/0ay2QyHB0dcXR0RK/Xc/HiRf75z39y/vx5urq68PT0ZPLkydxzzz1G9RX6+PgwceJE4uPj6ezsFHtzhYaG0tzcjEqlQqvVolAo8PLyMppOvV5PQUEBZ8+eRaVS/Wr/LWNrvZSGhga2bt3KV199RW1tLaNHjyYmJoY777yTQYMG4eXlha2tLW5ubjcdUXJLBlYikRAZGcnixYs5ceIEeXl5dHV1oVAoCAsLIzIyEgcHB9LT0zl37hz19fVA9wCPj49n2rRpfboEt7KyIjw8nPHjx2NlZUVERMQ1Z8ylpaXiLKY3+6PfKBcuXKCzsxOA8PBw5s2bR3x8PNDtxpg3bx7fffcdFRUVVFdXk5eXh1qt7leXRmZmJj/99BPV1dUkJCQwa9YsZsyYQXR09GWrgp5l2Llz59i6dSuNjY1Ad5PMuXPn4urq2m+aL6Wzs5P8/Hw2bNjAzp07UavVeHl5MWHCBObNm8fw4cONHqnh5uZ21T2AyspKmpubMRgMog/ZWOj1ejQaDXq9XowU+Tk9qxeVSkVNTQ1dXV1G9cMWFxeze/duvv32W44ePYq3tzeLFy9m5MiRCILA2bNnOXTokNgW/Wa5JQMrl8t58MEHUavVbN26lQMHDtDS0oK7uztTpkxh+PDhODs7849//EP0e0okEhQKBaNGjepTYyCXy/Hz87shn48gCJw7d070IRpzB7m2thatVoudnR2hoaEMHjxYfE+j0VBVVSWuGFpaWrh48SKNjY34+Pj0iz5BENi9ezf19fXodDpmzJjBI488csX5W1paqKio4Pz582zfvp3Nmzej0+mQy+WMGjWK5cuX93tDPJ1OR0tLC3l5eWzZsoU1a9aIxnXatGksXLiQESNGGN24/hpFRUW0trZiZWVFUFAQUVFRRtPSs6Lq2WNRqVRXHDNgwADS09MpKysjNTUVpVJpNAPb3NzMvn37WL16NRcuXEAulzNp0iTmzJmDvb0969ev5+uvv6aqqooVK1YYz8D2YGVlxaJFi1i0aNEV7/U4vnvCYGxtbYmNjWXJkiW9cepepauri6SkJKqrq5k9ezYTJ040mpbz58/T2dlJUFAQQUFBlw3GwsJCXnjhBUpKSoDumVhNTQ2lpaX9amC3bt2KVqsVH5p2dnYIgoBWq0Wj0aDVatmzZw9ffPEFaWlpNDc3A90rGA8PD5566ilcXV371UWg0+moqKhg165dfP3115w4cUJ8b+nSpaxYsYKAgACTCB/8NY4cOUJbWxs+Pj6Eh4dflmjQE8vZX4kSJ06cIDMzk+bmZkJDQ4mKiqKrq+uyGOiamhpUKhVqtZqWlhaampqMkhyh0WhITU1l586dFBYWYmFhgbe3N08//TReXl4cP36cvXv3kpOTg42NzS33E+vzX+DNN9/kyJEj4rI7PDyczz//HE9Pz74+9Q1TUVFBbm4u/v7+JCYmolAojKalZzeztLSU48ePM2rUKEaNGoXBYODZZ5/l7NmzqNVq8Xi5XG60cDJ3d3fs7e2RyWS0tLRw9OhRUlJSOH36NNnZ2bS3t6PX68Xj7ezs+Mtf/sKUKVP6XWteXh7//ve/2bp1qzgmoXtz87777sPLy8vkjasgCJw8eRKlUskdd9whuo56UCqVFBYWii6xvubUqVPU19ej1WppbGzk+PHjfPfdd2RnZ4vHJCcnU1NTg0QiobCwkBUrVrBnz54+1/Zzdu/ezTvvvMOhQ4eQy+X4+vqyZs0aEhMTaWlp4dChQ+Tl5dHR0UFISAiPPPLILZ2vTw3s/v372bJlC01NTQB4eXkxdOhQk+2RvmHDBtRqNY899hjz5s0zqpbPP/+cZ599loKCArZu3UpKSgohISFkZ2eLxurSHdna2lq+++47/va3v/WLPolEwrBhw6iqqqK5uZkXXniBTz75BF9fXzIzM6moqLjq55ycnJg8eTLjx4/vF50/p7W1lZqamsuMK3Q/0EaMGMGDDz7IokWLGDJkCE5OTkbR+GsIgsBDDz3E6dOnCQoKYvr06QwbNuyy97du3cq5c+d4+umn+8XA1tXViXHvDQ0NJCUlkZSUdIXunjhurVYr7sf0N/v376ewsBCZTMbw4cP57rvv8Pf35+LFizz99NMcP36ctrY23NzcSEhIICEh4ZbO1yePaq1Wy8GDB3nssceoqKgQfYkjR47kvvvuM5mg+EtRq9Xs2rULe3t7fH19ja5xzJgxzJ8/n+joaKysrGhvbycnJ+eymeClmWbOzs6MGzeu3/RJJBKee+45EhISsLCwoK2tjaysLPbu3Ut1dTVyuZypU6cSGhp6ma89LCyM//73v/0a93opsbGxPP300yxbtgxPT0/kcrm4lNZoNKxdu5Zly5Yxa9Ys/vrXv9Le3m4UnS0tLWRnZ4uhQ9B9X+3fv5+tW7eiVquZMmUK8fHx4kpLq9WSkpLC888/T2BgILa2tv2iNSkpSXT/QLcx/aVwLDs7O0aNGsWnn37aL9oupaOjg4KCApqamrCzs8Pe3p7s7Gy+++47Vq1aJbpdHB0dueuuu3jmmWduOYqk12ewBoOBxsZGPvjgA9G4AsTExDB16tTLNmtMicbGRoqKihg7dqxJFM5QKBT87ne/Y8iQIRw5coScnByg27D5+fkxfPhw3nzzTYqLi7Gzs8PHx4eIiIh+1RgTE8OHH35IQUEBKpWK1tZWlEolfn5+yOVyhg8fzuOPP05NTQ1qtRqFQoG3tzeOjo5G20Cyt7dn3LhxxMTEsGrVKnF8Zmdnk5qayoEDB6ipqaGxsZHKykpaWlr4xz/+0S958z1JMX//+9+pqKigpqaGiRMncvfddxMREcGpU6f44x//SGtrK7NmzWLx4sUMGDAA6DZqzc3NrFmzBgsLC+68885+m4H7+fnR1NQk7hmMHTuWhIQEUdvKlSuprKxEq9Xi6upKfHw8sbGx/aLtUmxsbFi+fDlKpZITJ05w/PhxioqK0Gq1NDQ00NHRAXRPbubNm9crG4e9bmA1Gg0VFRUcOXJEHLwDBw5k/vz5TJgwwegzw1/i3LlzqFQqwsLCjBY2dClSqRRfX1/uuOMOwsLCxE1CAEdHR9F3VFxcjE6nw2Aw9HvMpo2NDXFxcQQFBaHT6VCr1ajVahwcHMTZVEVFBRqNBjs7O8aMGcOyZcuwsLDoV52XIpVKcXBwwMHBgaCgIPH1oKAg4uPjGTx4MElJSZw+fZqKigp2797NAw88wNChQ/tUl16vp66ujrfffpvt27fT3t6OSqWipaWF0tJSgoKCyM7OJjc3l7lz5/LEE08QExMjzlI7Ojo4d+4chw4dIjQ0FC8vr367zn/5y19EN4GzszMBAQF4eXnh4uICdE8WelZabm5uVyT39BdSqZSxY8dy4cIFdDodJSUlVFRUiIYVEMP0RowY0Ssae9XAarVaysvL2blzJ3V1dQAEBwezcOFCpk2bZtSwp19DEASysrKwtLQkMjLSJAxsD66urlfVk5ubK4Zp2dra4urqapS0XplMhrOz82WvCYKAUqnks88+E1cx4eHhTJw40WSrPnl4eODh4YGjoyO5ubmcOXMGrVZLbW2tOJb7ko6ODk6fPs369evF7D1BECguLqahoQE7Ozva29sJCwvj8ccfF2O7e2hpaWHPnj3U1tbyyCOP9KsBmz59+q++3/N7y2QyvLy8+n2ldSlubm5MmzYNT09PioqKqKqqYtOmTbS2tiKXyxk/fjwjRozotWSIXjWwKpWKvLw8vvrqK6D7yXX33Xdz7733mnxR4LNnz6JQKAgJCTHJzY2fc/jwYVpbWxEEAVdXV8LDw381g6Y/0ev1FBUVkZqaKm5uxMfHM3ToUJPRCN2rrerqajo7O4mMjBSX6OXl5TQ1NSGXy3FxcekX90BXVxdlZWU4OTlRW1t7mQ9TqVSiVCqxs7NjypQpTJky5bJkGaVSSVZWFsnJybi5uTF//nyTqbKm0WhEH7KdnR3+/v6EhYUZVVNsbCwxMTF0dHSQmZnJrl27aG1txdPTkwULFhAZGdlr6fu9ZmD1ej1KpZLq6mpKS0uBbtfAM888Y/KhLwaDgf379+Ps7Iy9vb3RCy1fD2q1WjRepoQgCLS0tPDee++JRsLBwYHo6GhCQ0ONrO7/0Gg0FBQU8Mknn1BXV8fatWtpaGjg448/5uTJkwiCgLe3NzNnzuxz9wB010dYuHAhgYGBLF++/LLaAjqdjq6uLqRSqeiO6Vn+63Q6Tpw4wQcffEBhYSFLliwhISHBZMZFT8Ecg8GAu7s7ISEheHt7G1uWGPGwceNGKisrAZgyZQpDhw4VXRu9Qa9ZktzcXNavX88333wDdC8Hhg4diqOjo0kbV0EQaGtro66ujlGjRvXbzuutkpycfNnOrancUE1NTWJ+dw/3338/M2fONJlKShqNhkOHDvH+++9z5MgR3n//fXJycvjLX/5Camoq7e3txMXFcf/99/O73/2uX5bbcrkcT09Ppk+fTl5e3mXv5eXlsX79ej788EP++Mc/kpiYyJAhQ5DL5aSnp7Nx40b279+Pv78/b731lsmMBejuuNrU1HRFuxtjo1arKSwsZN26dUD3/fPGG2/0eix5rxjYzs5Otm/fzqZNm6isrMTa2prFixfzr3/9y2Q3tXro6Ojg73//OzKZjFWrVpnE0/VaXLhwgYKCArEKlaurq9GXXT00NzdfFkDu4eHBokWLjJrK+XPa29s5ffo027Ztw9ramqSkJN5++22ysrLQ6XRERkby0EMPsWrVqn7XdjWf9ogRI7CxseH06dOcOnWKefPmsXTpUuRyOQcOHODcuXN4eXnx5JNPmtT+QQ89YVsNDQ2UlpZSW1tr9ESj/Px8duzYQVNTExKJhJ9++qlPXEG3bGC7urr45z//yaZNmyguLkYul+Pt7c1TTz1l8sZVr9dTU1PD5s2bCQ0NJTo6+raYwebk5IiZXtC982mMsJefo1arqaysJCMjQ3zttddeIyoqyqiRAz8nNzeX3NxcoHv8btq0Ca1Wi8FgYN68eSxatMgopR9/CalUSmBgIE899RQZGRnU1tbyySefAN0uAl9fX+6++26eeOIJIyu9HEEQqKmpEV1ZarWa9vZ2sYiRsejq6iIjI4Pt27djYWFBaGgoI0eO7JMxeksGVqPR8Morr7B582bKysqQyWRERUXx/PPPExMTY1JLlavR2dnJhQsXqK+vZ/ny5beFcQXE5VbP9W1ra6OqquqKlMn+pidou7y8HIDo6Oh+jce8Xuzs7C5Lg1ar1YSEhPDEE08wZcoUAgMDjZomfTV6gt8/+eQTXnrpJWpqavDx8WHw4MFMmzaN6dOnG7X62y+xd+9eMdrFVHywubm5nDx5ksrKSuzs7Pjzn/+Ms7Nzn9irWzKweXl57Nixg7KyMjH+MSgoiEmTJpnkj/1z2tvbycjIQKfTMXr0aJOaZd0INjY2ODo6GluGuMmpVquRy+VMmzatT7tV3Cz+/v7MnDkTvV7Pvn37CA8P55577mHChAn4+vqa5DiQyWS4u7szY8YMbGxsaG9vx97eHm9vb4KDg03Gv/1zoqKiSElJQRAERo8e3edV9K6H9vZ2WlpakEqlREZGMnny5D4bozdtYAVB4NSpU5SWlqJWqwkPD2fw4MFMnDjRJDKhrkVPQsTp06dJTEwkKirK5AzBL+Ho6IiXlxednZ1i4HZgYKCxZWFnZ4evry+BgYE4OzszZ84co99MV8PFxYWxY8fi5eVFWFgYAwYMYNKkSdjb25v0qksikeDu7s7ixYuNLeW6kEgkzJkzRwzV6ikebmysrKywt7fH399fjIntK25pBqtUKsVQnISEBB566CHuuOOO3tDV57S1tVFYWEhRURFPPfUUvr6+xpZ03QQHBzNr1izOnj1LWFgYkyZNMokq8d7e3kyYMAF7e3v8/PxMyo95KVKpFEdHR4YOHdovIVj/y4wcOZKRI0caW8ZluLu7M2jQIGxsbJg/f36fnuumDaxEImHZsmV89tlnYr8dpVJpksurq6FSqejo6CAyMvK2eSj0MGDAAN58801jy7gCPz+/X6wLbMaMqdDjb+8PbmkG6+rqekXM3u1CQEAAjzzyyC3XezRjxoyZX+KaBjY9Pb0/dPQKZq29z+2iE8xa+4rbRasp6pQIptZH14wZM2Z+I5huDqsZM2bM3OaYDawZM2bM9BFmA2vGjBkzfYTZwJoxY8ZMH/GrUQTG3pUbMmTIdR9r1nr9XK/W20UnmLXeCL9Fraaq85phWjfyY/QmN3PBzFqvzY1qvV10glnr9fBb1mqKOk2/dL8ZM2ZMnuPHj3PgwAEaGhrw8vLCx8eHgIAAIiMjcXd3N+kaD31JrxnYjo4OKisrKSsro729Hb1eT2JiIlqtFk9PT2xsbEy6s8GlVFZWkpubS21tLQMHDmTQoEHGlnTbcvDgQQIDA/Hy8rotKqz10FMM6PDhw1hZWbFgwYLbJg3cGBw5coRvvvmG8vJyPD098fPzw9fXl/j4eKZPn86AAQNuq9+/t+gVA2swGMjOziY5OZkjR47Q0NCARqPhscceo6Ojg4SEBCIjI/H29jb5ItwAWVlZfPrppxw7doyFCxfyt7/9rddbSfwvoFQqeffdd5k2bRpTp041iYpf10tjYyP79u3jxRdfJDExkZkzZ5qEgTUYDFRUVFBdXY1er0cikWBjY4O7uztubm5Gq1528eJFWlpa6OjooLi4mOLiYgB27NhBbW0tixcvJjw8HAcHh9umal1v0CsGVq1Ws27dOtauXYtarUYmk6HT6XjhhRfQ6XS4ubmxYMEC7r//fkaMGGHSywVBEKiurqampobGxkY2bNhAYmIi999/f79r0el0dHR0oFarxddkMhlWVlZYW1sjlUqRSCQmez1Pnz7NwYMHMRgMJlNS8XrQaDTk5OSQnJwMwF//+lcMBoPRm0waDAZqa2t55513+PLLL0Ut4eHhzJgxg1mzZjFgwADs7Oz6fbVoZWWFpaWl2DBUr9cD3bVX33nnHUpKSli2bBljx47t1aaCpk6vGFhBEPDy8iIxMRFPT0+Cg4PJysqitLSUqqoqVCoVP/74I9bW1kRERJj0BW5paeHAgQOcOHECiUSCRqOhtbXVKFrS0tJ45ZVX2LVrl3hz+/j4sHDhQu677z6cnZ1xdHREoVBgaWlpUoZWEAR27Ngh9g27nUhJSeHzzz9n165deHl5mUS5vZ6eVqtWrSI5OZkJEybw6KOP4uTkRH5+PgcOHODbb7/ljjvu4Pnnnyc4OLhfZ4qzZs2iubmZjIwMtFottbW1l5Uz7bn/HR0dGTt27P/MLLZXDKytrS0vvvgiL7744hXvNTY28s3/1965B0V133342WWX5bIgF10QRdQgyk0UlURRQMVbQJsWqNGZpDjVtpk2dhyxmTbJpJlpvEwyjU2baGKQmpTappOJZK2i0mAU6w0iARruIHdYutxhYffs7vsHs2ckJq0XYI9995nhn8PC78PhnO/5ne/1ww85ceIExcXFXL9+nU2bNo3HshOCTae9KS8v55VXXhENvY22tjby8/PJzMxkeHiYOXPmsHjxYtasWUN6ejrOzs52VD2Wzs5Oe0u4b7q7u7ly5QqFhYX4+fnZZfDhN9HR0UFWVhaffPIJWVlZpKamitNu4+LieOaZZ6ivrycrK4vY2Fiys7NZvnz5pLnk1q1bR2JiIjDaCrSuro6GhgZef/11rl69islk4i9/+QsdHR1kZGRI2gaMJ+P2HmF7Vf36l6+vL4sWLUKj0dDV1UVtbe14LTnu9Pf3U1VVJY7DVigUeHt7Ex4ePula3nzzTb788ksGBgaA0emsO3bs4MyZM2i1WoKCgpDL5dTX15OTk0N2djZdXV2TrvPbsFqtXL58GaPRyIwZMyZkYudEoNVqycvLo6uri/nz5094Q+Z7QRAEGhoaOHnyJHPnzuU73/nOXaPEXVxcCAkJ4eWXX8bHxwe9Xi8OxZwsbPe8u7s7YWFhrF+/nk8//ZS5c+eiVCrFKShvvfUWjY2Nk6rNXkx4mtbg4CBnzpyhuroapVKJXq+f6CUfmC+//JKioiJx52WbgzTZXe8rKyvJy8sTDb2XlxexsbG8/PLLTJ06FTc3NxQKBTKZDEEQMJvNDA8PI7XGaEajEU9PT5YvX05AQIC95fxXurq6yM3NpaqqCldXV4KCgiSh22w209fXR1NTE9///vf/4660ra0NnU6HyWSy6/Xg5OSEk5MTzs7OHDx4kP3791NaWsrQ0BCVlZV8/PHH7NmzZ8LW7+7upq2t7a7jMpkMT09PPDw8cHV1vefApdlspqamBpVKxbRp0+75zWBCDWxzczPHjh3j7NmzGAwGoqOjiYuLm8glHxij0cjf//53mpqaxCmYU6ZMIT4+Hg8Pj0nTYbVaeeONN2hra8NkMqFQKFi6dCk7d+5k9uzZwOh5HRwcFAMJtrnzUmPBggVYLBYWLFggucmy38SVK1f417/+RX9/P6GhoURERIhBG3titVoRBAFBEAgMDPxGX7vZbEan03H48GFUKhWBgYGSmYcWHx9Pb28vJ06c4Nq1a+h0Ov72t7+xadMmFixYMCFr3rhxg6NHj951XCaToVarcXd3R6VSib7ggIAAFAoFSqUSFxcXzGYz3d3ddHR0AKMBxsbGRlQqFbt27WL16tX3pGNCrh6btT916hQnTpygo6ODmJgYkpKSJDsD6fPPP+f8+fP09PSIxzw9PSddr9VqHTPqeMaMGcTGxo55MNXV1dHf3y8aWCkik8kIDg6moqKC5uZm5s6di6+vr71lfStms5mPP/6Y5uZmpk+fTmxsrCSCWzC6G1Sr1fj7+zM0NHTX900mE+3t7eTn5/OPf/yDtLQ0HnvsMckYWG9vb5KSkqiurqa+vp6GhgbKyso4ffr0hBnYlpYWCgsLCQ0NRaFQ0NzcLAaK5XI5VquVkZER+vr6kMvl+Pn5oVQqUSqVODs7Y7VaGRgYoLe3l/b2diwWC2q1msWLF2OxWO5Zx7gaWJvoxsZGPvzwQzIzM0VfVmpqKuvWrZvU3eC9MjAwwNGjR/nqq6/ElCiVSoVGo2HevHmTrsd2ESiVSmJjY1m5cuWYVxKdTjfGJSDVVK0pU6ZQUlJCQUEB8+bNk7SBra+v59y5c/T09JCQkMCWLVskU2CiVCrx9vYmODiY6upq8bjVakWv11NfX09hYSFarZawsDAyMjIICAiQVGHP1KlTiYqK4vr16zQ0NGA0Gjl79ix79+6dkGt31qxZpKSksGXLFlxdXbl27Zp4vwiCwNDQEF1dXbS0tHzjz8vlcry8vFCr1VRVVeHj48OmTZvYvn070dHR96xjXA2swWCgvLyczMxMjh49ikqlIiAggP379xMXFyfJQIcgCJSUlIgBGRuBgYGsXr36vk7meBMYGEhSUhKxsbHiMbPZzODg4BiXgJOTE0qlUlI3lMViwWw2YzQamTVrlqRdBEajkXfeeYfe3l6cnZ1ZuHAhYWFhknAP2LDtrsrKykTXUW9vL5988gknT56kvLycsLAwjh07JtkJyaGhoYSFhXHx4kVxMyYIwoQUcCQmJopZDcB9v42MjIxQWlrKb37zG2QyGcnJyRw6dIipU6fe1wNhXO/IgoICMjIyOHLkCFarlc2bN5OZmUlCQoIkjSuMppR88MEHYvBNJpMxdepUEhMTSU9Pt6s2FxcX0VcEo8a1paWF3/72txgMBvFzNjfCtGnT7CV1DBaLhfb2do4ePYrJZMLHx0eyZZKCIFBUVMSRI0cwGAykpaWxYcMGZs6caW9pY3BycsLd3Z36+nq++OILWlpaOHDgAG+99RZDQ0Ps27cPrVZrd+NqiwdYLBaxOMO2GYiIiCA2NpbAwEBMJhO1tbWUlZVJ0tVVUFDASy+9RE5ODs7Ozrz44ov4+vre9257XB/RfX194pZbLpfz4x//mFWrVkmixPCb6Ojo4IMPPuC9994bc+JWrFhBcnIyc+fOtYsu2wXa1tZGWVmZ6Ee6cOECb775JpWVleLnYDSdTKVSSWYHKwgCt27dwmAwsHz5cpYsWSJZ90Bvby+vvvoqw8PDaDQatm/fTmRkpGTOpY3p06eza9cutFotn376KSdPnsTd3Z2tW7eSkpJCWFiYXfUNDAyQn5/PP//5TyorK6moqEAulxMcHExMTAzr16/nscceIyAggNjYWOrr6+no6OCjjz5i/vz5uLm52VX/nZw/f55jx45x8eJFgoODycrKIiQk5IF+17ga2ICAAKKjo6mursZisZCWlkZ6ejrPPvss8+fPl9QuZmRkhOrqaj766KMxx1etWsXOnTvHvF5MNn5+frS1tdHd3c3Bgwd5//338fDw4Pbt22N2rraHghT9r7aAgr+/v6SKH+6ks7OTv/71r1y8eBGAPXv2EBUVJcl+GTZ3m0Kh4PDhw4SHh3Pw4EGWLl2KWq22q7aamhpeffVVLl26RGdnJ1arVdyV1tbWkpeXxxtvvMGcOXNwc3OjtbVV/FmpZb+cO3eO3//+93z++efMmzePQ4cO8cQTTzzw7xtXAxseHk56ejqtra1UV1fT3t5OdnY2N27c4OmnnyYpKYk5c+aM55IPRG9vLxcuXODdd9+lvLxc/Cdv3LiRjIwMli5dajejIJfLef311/npT39KTU2N2ItALpczMjIiBrRmzpyJTqcb06dAijg5OUnyAWCxWGhqaiIrKwuj0cjixYtJTU2VjJvFhq3/wJUrV8TqvW3btrFjxw4WLVqEh4eH3c+vzSC1tbUhCMIYPYIgYLVaGRwcxGAwoFAoEARB/P6CBQskUTZrsVg4fvw42dnZ1NXVsXnzZnbv3k14ePhD+eLH1cB6enqybNkyfvGLX6DT6di5cyc6nY6+vj4MBgM6nY7vfe97LFq0aDyXvW/q6uq4fPkyN2/eFNNeEhISeO6551i6dKnd/cXLli3jxRdfpL29HZPJRFtbG0VFRRQXF7NixQqWLFlCZ2cnOTk56HQ6/v3vf1NaWkp5eTmhoaF21f6oUF1dzalTp6ipqWHmzJn88pe/ZNasWZIKbPX19VFUVER+fj6VlZWEhIRQUVGBWq0mMjJSEsa1q6uLgoICOjs7EQRBjL6Hh4djtVopKyujt7dXDGp9fUPg5eVl978BICcnh8zMTGpra1m7di3PPPMMS5YseWj35rheTTKZDB8fHzZu3IggCJw/f57r16/T2tpKcXExJpMJtVptVwPb1tbGxYsXuXr1Kv39/chkMlxcXNi2bRsJCQl2f90CcHV15amnnmJkZASr1Up7ezuFhYWUlpbyxBNPEB0djVar5dy5c8BoiW9FRYWY9+fgPyMIApWVlWK+cUREBMnJyZJyZfT393PmzBnOnTtHY2MjISEhpKWlMTQ0RF9fn1jJZ29u375Na2srRqORKVOmEBoayqpVq1i4cCEAZWVltLS0cOnSJdrb28dk6gCUlJSwfv16u517s9lMdXU1x48fp7i4mMWLF7NlyxaWL18+LrGjceumdac/UKFQoFAoeO2113j77bc5ffo0TU1N1NTUcOnSJfbs2WO3wNfVq1fRarWUlJQAo+kv0dHRbN68GbVaLYmLFkYzCGz15l5eXnclZLu6uiKTyUR/18DAgGT6PFit1jG+YqnR2dlJZWUlt2/fxtPTkw0bNkgqPgBw69Ytjhw5QlNTE2vXrmXXrl1EREQwODjI4cOHMRgMkrhem5ubMRgMWCwWfHx8ePLJJ3n++edxc3NDr9ezZs0aCgsLqampuav5j9Vq5dSpU+zevdsuQS6LxUJPTw9/+tOfuHDhAgEBAWzbto0VK1aMW1rhQxtYi8VCZ2enGMm2+dyGh4fx9fXl+eefZ3h4mNOnT9Pc3Ixer6e3t9duDaxzc3MpLy8Xn6Tu7u4cOHAAf39/u+h5UKZPn46HhwdKpVIMKNj7ZrNhq+STKteuXeOzzz6jv7+fmJgYyXTMsiEIglj4sm7dOjG53Wq1EhUVRVVVlegqsHf0/c6exEajEZ1OR21tLQqFAq1Wi9Fo5L333kOv12M2m5HL5aLP1WQy0dzcfF+VUePJ0NAQX3zxBYcOHcLd3Z3du3ezdetWNBrNuK3x0Aa2oaGBH/7whzg5ObFo0SKCgoJwd3fnz3/+s+g/bGxsZHh4GC8vL4KCguw6HaC0tFSsLwbGRDwfJZ588kmuX7/OyZMnxZ2rVCKyNgMrFT13YrVaOXv2LLm5uQQFBZGUlGRvSXdRWlpKfn4+arWa7373u2Ldu0wmw8/Pj61bt/LHP/6RmTNn2i2V0IZGo0GlUiGTyWhpaeEPf/gDb7/99pjP2N5wbd31bLm6JSUldgtwmUwmKisrOXDgAEqlkueee44f/ehH4/7AemgDq9Vqqampoampiby8PHEX9fWby8XFhcTERDIyMh52yYfmzp3e0NAQe/fuJTc3976rNOyNr6+veEF0dHSQnZ3Nr3/9a/uKkjCNjY387ne/Iy8vD41GQ3x8PDt27LC3rLtoampieHj4W8erzJs3j5s3b0qimXlMTAxeXl50d3ff5V+9k6CgINasWcNTTz1FXFwcSqWSwcFB5HI53t7ek6gYsUz30KFDlJaWsm/fPl555ZUJyX1+aAPb09Mzpu/k1w3rhg0bSE9PJyQkBH9//3Hdfj8IXl5eqFQqRkZG0Gg0pKSk8Oyzzz5QlYa9cXFxwcnJSey2NDAwwODgoCTzOKVAa2srn332GU1NTaxbt46f/OQnk35z3wsajYbZs2fT09PzH42WVPjZz35GZmYmFRUVotG3tQVMSkoiJSWFyMhIpk2bJrYItM0Ss312srBYLJw4cYLjx49TVVXF2rVr2bdv34QVljy0gf3BD37A7NmzuXz5MtXV1RgMBjEAk5KSQnx8PIGBgbi6uqJQKOye87Z3714WLlzI5cuXsVqtpKWlsXDhQslV7twL8fHx5ObmcuvWLQCGh4fJyclh+/btdtUlCALl5eXEx8fzwgsv2L1804aXlxeurq64ubmh0Wjw9/eX5EM1MjKS1157jf379/Puu+9y48YNgoODEQSBiooKCgoKiIuLk8yDdOvWrSQkJIjBLhg1mk5OTvj4+IhvWl9PgbPHua+vr+fmzZvU1tYye/ZsXnjhhQnNHHpoAztr1iw2btxIREQEer0eQRDEFJKwsDD8/PzsblTvJCYmhoCAAFavXo0gCERFRd3VHf5RwdvbGzc3tzFuGZ1OZ2dVoyOEMjIy8PT0JDIyUjJt82bMmMGvfvUrurq6mDNnjt3fpr4Nd3d3Vq5cyc9//nPy8/Opra2lpqaG4eFhccLG008/LZlJx9OmTZNcgca3kZeXR3FxMV5eXiQmJhIVFTWh6z20gZXJZGg0GslerF/H09OTsLAwu9dujwcuLi5oNBp8fHzo6uoSdzj2nn6qUqlISUmx2/rfhoeHB8nJyfaWcU/YXq+nT5/OV199hV6vZ2RkhODgYDQaDY8//rhke3xIFaPRyJUrV+ju7mbJkiUkJSVNeBaGdMpWHNw3arWaFStWoNfrqaurw8nJicHBQXvLcjBOuLm5sXLlSlauXGlvKf8TGI1GFAoFy5YtIzk5mccff3zC13QY2EcYuVxOamoqqamp9pbiwIHkUavVvPTSS3h7e09acNNhYB04cPD/hsnOG/6vBraoqGgydIwLDq3jz6OiExxaJ4pHRasUdcqsUiy3ceDAgYP/AR695E8HDhw4eERwGFgHDhw4mCAcBtaBAwcOJgiHgXXgwIGDCcJhYB04cOBggvg/VfC4+spEfKoAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 432x288 with 48 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mnist_data = np.asarray(mnist.data)\n",
    "mnist_target = np.asarray(mnist.target, dtype=int)\n",
    "\n",
    "fig, ax = plt.subplots(6, 8, subplot_kw=dict(xticks=[], yticks=[]))\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(mnist_data[1250 * i].reshape(28, 28), cmap='gray_r')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This gives us an idea of the variety of handwriting styles in the dataset.\n",
    "\n",
    "Let's compute a manifold learning projection across the data.\n",
    "For speed here, we'll only use 1/30 of the data, which is about ~2,000 points\n",
    "(because of the relatively poor scaling of manifold learning, I find that a few thousand samples is a good number to start with for relatively quick exploration before moving to a full calculation). the following figure shows the result:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Use only 1/30 of the data: full dataset takes a long time!\n",
    "data = mnist_data[::30]\n",
    "target = mnist_target[::30]\n",
    "\n",
    "model = Isomap(n_components=2)\n",
    "proj = model.fit_transform(data)\n",
    "\n",
    "plt.scatter(proj[:, 0], proj[:, 1], c=target, cmap=plt.cm.get_cmap('jet', 10))\n",
    "plt.colorbar(ticks=range(10))\n",
    "plt.clim(-0.5, 9.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The resulting scatter plot shows some of the relationships between the data points, but is a bit crowded.\n",
    "We can gain more insight by looking at just a single number at a time (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Choose 1/4 of the \"1\" digits to project\n",
    "data = mnist_data[mnist_target == 1][::4]\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 10))\n",
    "model = Isomap(n_neighbors=5, n_components=2, eigen_solver='dense')\n",
    "plot_components(data, model, images=data.reshape((-1, 28, 28)),\n",
    "                ax=ax, thumb_frac=0.05, cmap='gray_r')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result gives you an idea of the variety of forms that the number 1 can take within the dataset.\n",
    "The data lies along a broad curve in the projected space, which appears to trace the orientation of the digit.\n",
    "As you move up the plot, you find 1s that have hats and/or bases, though these are very sparse within the dataset.\n",
    "The projection lets us identify outliers that have data issues: for example, pieces of the neighboring digits that snuck into the extracted images.\n",
    "\n",
    "Now, this in itself may not be useful for the task of classifying digits, but it does help us get an understanding of the data, and may give us ideas about how to move forward—such as how we might want to preprocess the data before building a classification pipeline."
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "jupytext": {
   "formats": "ipynb,md"
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
